3x-8=4x+7

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Solution for 3x-8=4x+7 equation:


Simplifying
3x + -8 = 4x + 7

Reorder the terms:
-8 + 3x = 4x + 7

Reorder the terms:
-8 + 3x = 7 + 4x

Solving
-8 + 3x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = 7 + 0
-8 + -1x = 7

Add '8' to each side of the equation.
-8 + 8 + -1x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 7 + 8
-1x = 7 + 8

Combine like terms: 7 + 8 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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