4x+7=8x-7

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Solution for 4x+7=8x-7 equation:


Simplifying
4x + 7 = 8x + -7

Reorder the terms:
7 + 4x = 8x + -7

Reorder the terms:
7 + 4x = -7 + 8x

Solving
7 + 4x = -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.
7 + 4x + -8x = -7 + 8x + -8x

Combine like terms: 4x + -8x = -4x
7 + -4x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -4x = -7 + 0
7 + -4x = -7

Add '-7' to each side of the equation.
7 + -7 + -4x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -7 + -7
-4x = -7 + -7

Combine like terms: -7 + -7 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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