Solve the following equation and check your solution. {:[11 x+7-4=10 x-2],[x=◻]:}

Simplify Equation: Simplify both sides of the equation. On the left side, combine like terms (7 - 4). 11x + 3 = 10x - 2Rearrange Terms: Get all the x terms on one side and the constants on the other side. Subtract 10x from both sides to get x by itself. 11x - 10x + 3 = 10x - 10x - 2 x + 3 = -2Isolate x: Isolate x by subtracting 3 from both sides. x + 3 - 3 = -2 - 3 x = -5Check Solution: Check the solution by substituting x = -5 back into the original equation. 11(-5) + 7 - 4 = 10(-5) - 2 -55 + 7 - 4 = -50 - 2 -52 = -52 The left side equals the right side, so the solution x = -5 is correct.

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Q. Solve the following equation and check your solution.

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\begin{array}{l} 11 x+7-4=10 x-2 \\ x=\square \end{array}

Simplify Equation: Simplify both sides of the equation. $\newline$ On the left side, combine like terms $7 - 4$ . $\newline$ $11x + 3 = 10x - 2$
Rearrange Terms: Get all the $x$ terms on one side and the constants on the other side. $\newline$ Subtract $10x$ from both sides to get $x$ by itself. $\newline$ $11x - 10x + 3 = 10x - 10x - 2$ $\newline$ $x + 3 = -2$
Isolate x: Isolate x by subtracting $3$ from both sides. $\newline$ $x + 3 - 3 = -2 - 3$ $\newline$ $x = -5$
Check Solution: Check the solution by substituting $x = -5$ back into the original equation. $11(-5) + 7 - 4 = 10(-5) - 2$ $-55 + 7 - 4 = -50 - 2$ $-52 = -52$ The left side equals the right side, so the solution $x = -5$ is correct.