7x+2-3x+8=5x-6

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Solution for 7x+2-3x+8=5x-6 equation:


Simplifying
7x + 2 + -3x + 8 = 5x + -6

Reorder the terms:
2 + 8 + 7x + -3x = 5x + -6

Combine like terms: 2 + 8 = 10
10 + 7x + -3x = 5x + -6

Combine like terms: 7x + -3x = 4x
10 + 4x = 5x + -6

Reorder the terms:
10 + 4x = -6 + 5x

Solving
10 + 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.
10 + 4x + -5x = -6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = -6 + 0
10 + -1x = -6

Add '-10' to each side of the equation.
10 + -10 + -1x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -6 + -10
-1x = -6 + -10

Combine like terms: -6 + -10 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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