Solve for x. Give an exact answer. {:[0.5(5-7x)=8-(4x+6)],[x=◻]:}

Simplify left side using distributive property: Simplify the left side of the equation using the distributive property. 0.5(5) - 0.5(7x) = 2.5 - 3.5xSimplify right side by combining like terms: Simplify the right side of the equation by combining like terms. 8 - (4x + 6) = 8 - 4x - 6 = 2 - 4xSimplified equation: Now we have the simplified equation: 2.5 - 3.5x = 2 - 4xMove -3.5x to the right side: To isolate x, we need to get all the x terms on one side and the constants on the other. Let's move the -3.5x from the left to the right by adding 3.5x to both sides. 2.5 = 2 - 4x + 3.5xCombine like terms on the right side: Combine like terms on the right side. 2.5 = 2 - 0.5xMove constant term to the left side: Now, let's move the constant term from the right side to the left by subtracting 2 from both sides. 2.5 - 2 = -0.5xSimplify left side: Simplify the left side. 0.5 = -0.5xDivide both sides by -0.5: To solve for x, divide both sides by -0.5. 0.5 / -0.5 = (-0.5x) / -0.5Calculate the division to find x: Calculate the division to find the value of x. x = -1

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Solve for
x.
Give an exact answer.

{:[0.5(5-7x)=8-(4x+6)],[x=◻]:}

Solve for $x$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 0.5(5-7 x)=8-(4 x+6) \\ x=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

x

\newline

Give an exact answer.

\newline

\begin{array}{l} 0.5(5-7 x)=8-(4 x+6) \\ x=\square \end{array}

Simplify left side using distributive property: Simplify the left side of the equation using the distributive property. $\newline$ $0.5(5) - 0.5(7x) = 2.5 - 3.5x$
Simplify right side by combining like terms: Simplify the right side of the equation by combining like terms. $8 - (4x + 6) = 8 - 4x - 6 = 2 - 4x$
Simplified equation: Now we have the simplified equation: $2.5 - 3.5x = 2 - 4x$
Move $-3.5x$ to the right side: To isolate $x$ , we need to get all the $x$ terms on one side and the constants on the other. Let's move the $-3.5x$ from the left to the right by adding $3.5x$ to both sides. $\newline$ $2.5 = 2 - 4x + 3.5x$
Combine like terms on the right side: Combine like terms on the right side. $\newline$ $2.5 = 2 - 0.5x$
Move constant term to the left side: Now, let's move the constant term from the right side to the left by subtracting $2$ from both sides. $\newline$ $2.5 - 2 = -0.5x$
Simplify left side: Simplify the left side. $\newline$ $0.5 = -0.5x$
Divide both sides by $-0$ . $5$ : To solve for x, divide both sides by $-0.5$ . $\newline$ $\frac{0.5}{-0.5} = \frac{-0.5x}{-0.5}$
Calculate the division to find $x$ : Calculate the division to find the value of $x$ . $\newline$ $x = -1$