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$4x-8=8x+7$

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Solve linear equations with variables on both sides

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Q.

4x-8=8x+7

Move x terms right: Isolate the variable terms on one side and the constant terms on the other side. $\newline$ To do this, we will subtract $4x$ from both sides of the equation to move the $x$ terms to the right side. $\newline$ $4x - 8 - 4x = 8x + 7 - 4x$ $\newline$ This simplifies to: $\newline$ $-8 = 4x + 7$
Isolate variable term: Now, subtract $7$ from both sides to isolate the variable term. $\newline$ $-8 - 7 = 4x + 7 - 7$ $\newline$ This simplifies to: $\newline$ $-15 = 4x$
Solve for x: Divide both sides by $4$ to solve for x. $\newline$ $-15 / 4 = 4x / 4$ $\newline$ This simplifies to: $\newline$ $x = -15 / 4$

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