4x+8=5x-6

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Solution for 4x+8=5x-6 equation:


Simplifying
4x + 8 = 5x + -6

Reorder the terms:
8 + 4x = 5x + -6

Reorder the terms:
8 + 4x = -6 + 5x

Solving
8 + 4x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 4x + -5x = -6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = -6 + 0
8 + -1x = -6

Add '-8' to each side of the equation.
8 + -8 + -1x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -6 + -8
-1x = -6 + -8

Combine like terms: -6 + -8 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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