8+2x-x+7=4x-x+2

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Solution for 8+2x-x+7=4x-x+2 equation:


Simplifying
8 + 2x + -1x + 7 = 4x + -1x + 2

Reorder the terms:
8 + 7 + 2x + -1x = 4x + -1x + 2

Combine like terms: 8 + 7 = 15
15 + 2x + -1x = 4x + -1x + 2

Combine like terms: 2x + -1x = 1x
15 + 1x = 4x + -1x + 2

Reorder the terms:
15 + 1x = 2 + 4x + -1x

Combine like terms: 4x + -1x = 3x
15 + 1x = 2 + 3x

Solving
15 + 1x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 1x + -3x = 2 + 3x + -3x

Combine like terms: 1x + -3x = -2x
15 + -2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -2x = 2 + 0
15 + -2x = 2

Add '-15' to each side of the equation.
15 + -15 + -2x = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 2 + -15
-2x = 2 + -15

Combine like terms: 2 + -15 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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