-5x+7=8x-19

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Solution for -5x+7=8x-19 equation:


Simplifying
-5x + 7 = 8x + -19

Reorder the terms:
7 + -5x = 8x + -19

Reorder the terms:
7 + -5x = -19 + 8x

Solving
7 + -5x = -19 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + -5x + -8x = -19 + 8x + -8x

Combine like terms: -5x + -8x = -13x
7 + -13x = -19 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -13x = -19 + 0
7 + -13x = -19

Add '-7' to each side of the equation.
7 + -7 + -13x = -19 + -7

Combine like terms: 7 + -7 = 0
0 + -13x = -19 + -7
-13x = -19 + -7

Combine like terms: -19 + -7 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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