5x-(8x+7)=5x-23

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Solution for 5x-(8x+7)=5x-23 equation:


Simplifying
5x + -1(8x + 7) = 5x + -23

Reorder the terms:
5x + -1(7 + 8x) = 5x + -23
5x + (7 * -1 + 8x * -1) = 5x + -23
5x + (-7 + -8x) = 5x + -23

Reorder the terms:
-7 + 5x + -8x = 5x + -23

Combine like terms: 5x + -8x = -3x
-7 + -3x = 5x + -23

Reorder the terms:
-7 + -3x = -23 + 5x

Solving
-7 + -3x = -23 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-7 + -3x + -5x = -23 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-7 + -8x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -8x = -23 + 0
-7 + -8x = -23

Add '7' to each side of the equation.
-7 + 7 + -8x = -23 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = -23 + 7
-8x = -23 + 7

Combine like terms: -23 + 7 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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