3x*2+2x-3=2x*2+7-x

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Solution for 3x*2+2x-3=2x*2+7-x equation:


Simplifying
3x * 2 + 2x + -3 = 2x * 2 + 7 + -1x

Reorder the terms for easier multiplication:
3 * 2x + 2x + -3 = 2x * 2 + 7 + -1x

Multiply 3 * 2
6x + 2x + -3 = 2x * 2 + 7 + -1x

Reorder the terms:
-3 + 6x + 2x = 2x * 2 + 7 + -1x

Combine like terms: 6x + 2x = 8x
-3 + 8x = 2x * 2 + 7 + -1x

Reorder the terms for easier multiplication:
-3 + 8x = 2 * 2x + 7 + -1x

Multiply 2 * 2
-3 + 8x = 4x + 7 + -1x

Reorder the terms:
-3 + 8x = 7 + 4x + -1x

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

Solving
-3 + 8x = 7 + 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.
-3 + 8x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-3 + 5x = 7 + 0
-3 + 5x = 7

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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