Solve for b. {:[7b-(2)/(5)=6b-(7)/(5)],[b=]:}

Start with equation: Start with the given equation. 7b - (2/5) = 6b - (7/5) We want to isolate b on one side of the equation.Subtract b terms: Subtract 6b from both sides to move the b terms to one side. 7b - 6b - (2/5) = 6b - 6b - (7/5) Simplify the equation by combining like terms. b - (2/5) = -(7/5)Combine like terms: Add (2/5) to both sides to isolate b. b - (2/5) + (2/5) = -(7/5) + (2/5) Simplify the equation by combining like fractions. b = -(7/5) + (2/5)Isolate b: Combine the fractions on the right side of the equation. b = -(5/5) Simplify the fraction. b = -1

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Solve for
b.

{:[7b-(2)/(5)=6b-(7)/(5)],[b=]:}

Solve for $b$ . $\newline$ $\begin{array}{l} 7 b-\frac{2}{5}=6 b-\frac{7}{5} \\ b=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

b

\newline

\begin{array}{l} 7 b-\frac{2}{5}=6 b-\frac{7}{5} \\ b=\square \end{array}

Start with equation: Start with the given equation. $\newline$ $7b - \frac{2}{5} = 6b - \frac{7}{5}$ $\newline$ We want to isolate $b$ on one side of the equation.
Subtract b terms: Subtract $6b$ from both sides to move the b terms to one side. $\newline$ $7b - 6b - \left(\frac{2}{5}\right) = 6b - 6b - \left(\frac{7}{5}\right)$ $\newline$ Simplify the equation by combining like terms. $\newline$ $b - \left(\frac{2}{5}\right) = -\left(\frac{7}{5}\right)$
Combine like terms: Add $(\frac{2}{5})$ to both sides to isolate $b$ .
$b - \frac{2}{5} + \frac{2}{5} = -\frac{7}{5} + \frac{2}{5}$
Simplify the equation by combining like fractions.
$b = -\frac{7}{5} + \frac{2}{5}$
Isolate $b$ : Combine the fractions on the right side of the equation. $b = -\left(\frac{5}{5}\right)$ Simplify the fraction. $b = -1$