8x-6=-7x+114

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Solution for 8x-6=-7x+114 equation:


Simplifying
8x + -6 = -7x + 114

Reorder the terms:
-6 + 8x = -7x + 114

Reorder the terms:
-6 + 8x = 114 + -7x

Solving
-6 + 8x = 114 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 8x + 7x = 114 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-6 + 15x = 114 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 15x = 114 + 0
-6 + 15x = 114

Add '6' to each side of the equation.
-6 + 6 + 15x = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 114 + 6
15x = 114 + 6

Combine like terms: 114 + 6 = 120
15x = 120

Divide each side by '15'.
x = 8

Simplifying
x = 8

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