4(3x+3)=2(5x+7)-10

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Solution for 4(3x+3)=2(5x+7)-10 equation:


Simplifying
4(3x + 3) = 2(5x + 7) + -10

Reorder the terms:
4(3 + 3x) = 2(5x + 7) + -10
(3 * 4 + 3x * 4) = 2(5x + 7) + -10
(12 + 12x) = 2(5x + 7) + -10

Reorder the terms:
12 + 12x = 2(7 + 5x) + -10
12 + 12x = (7 * 2 + 5x * 2) + -10
12 + 12x = (14 + 10x) + -10

Reorder the terms:
12 + 12x = 14 + -10 + 10x

Combine like terms: 14 + -10 = 4
12 + 12x = 4 + 10x

Solving
12 + 12x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 12x + -10x = 4 + 10x + -10x

Combine like terms: 12x + -10x = 2x
12 + 2x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 2x = 4 + 0
12 + 2x = 4

Add '-12' to each side of the equation.
12 + -12 + 2x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 4 + -12
2x = 4 + -12

Combine like terms: 4 + -12 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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