2x+5=8x-7

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Solution for 2x+5=8x-7 equation:


Simplifying
2x + 5 = 8x + -7

Reorder the terms:
5 + 2x = 8x + -7

Reorder the terms:
5 + 2x = -7 + 8x

Solving
5 + 2x = -7 + 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.
5 + 2x + -8x = -7 + 8x + -8x

Combine like terms: 2x + -8x = -6x
5 + -6x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -6x = -7 + 0
5 + -6x = -7

Add '-5' to each side of the equation.
5 + -5 + -6x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -7 + -5
-6x = -7 + -5

Combine like terms: -7 + -5 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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