4(2x+2)+3x=3(2x-5)+7

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Solution for 4(2x+2)+3x=3(2x-5)+7 equation:


Simplifying
4(2x + 2) + 3x = 3(2x + -5) + 7

Reorder the terms:
4(2 + 2x) + 3x = 3(2x + -5) + 7
(2 * 4 + 2x * 4) + 3x = 3(2x + -5) + 7
(8 + 8x) + 3x = 3(2x + -5) + 7

Combine like terms: 8x + 3x = 11x
8 + 11x = 3(2x + -5) + 7

Reorder the terms:
8 + 11x = 3(-5 + 2x) + 7
8 + 11x = (-5 * 3 + 2x * 3) + 7
8 + 11x = (-15 + 6x) + 7

Reorder the terms:
8 + 11x = -15 + 7 + 6x

Combine like terms: -15 + 7 = -8
8 + 11x = -8 + 6x

Solving
8 + 11x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 11x + -6x = -8 + 6x + -6x

Combine like terms: 11x + -6x = 5x
8 + 5x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 5x = -8 + 0
8 + 5x = -8

Add '-8' to each side of the equation.
8 + -8 + 5x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = -8 + -8
5x = -8 + -8

Combine like terms: -8 + -8 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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