2x+7=8x-5

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


Simplifying
2x + 7 = 8x + -5

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

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

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

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

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

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

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

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

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

Simplifying
x = 2

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