2(3x+2)-7=2(4x+2)-3x

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Solution for 2(3x+2)-7=2(4x+2)-3x equation:


Simplifying
2(3x + 2) + -7 = 2(4x + 2) + -3x

Reorder the terms:
2(2 + 3x) + -7 = 2(4x + 2) + -3x
(2 * 2 + 3x * 2) + -7 = 2(4x + 2) + -3x
(4 + 6x) + -7 = 2(4x + 2) + -3x

Reorder the terms:
4 + -7 + 6x = 2(4x + 2) + -3x

Combine like terms: 4 + -7 = -3
-3 + 6x = 2(4x + 2) + -3x

Reorder the terms:
-3 + 6x = 2(2 + 4x) + -3x
-3 + 6x = (2 * 2 + 4x * 2) + -3x
-3 + 6x = (4 + 8x) + -3x

Combine like terms: 8x + -3x = 5x
-3 + 6x = 4 + 5x

Solving
-3 + 6x = 4 + 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.
-3 + 6x + -5x = 4 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = 4 + 0
-3 + 1x = 4

Add '3' to each side of the equation.
-3 + 3 + 1x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 4 + 3
1x = 4 + 3

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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