4(3x+3)=2(5x+11)

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Solution for 4(3x+3)=2(5x+11) equation:


Simplifying
4(3x + 3) = 2(5x + 11)

Reorder the terms:
4(3 + 3x) = 2(5x + 11)
(3 * 4 + 3x * 4) = 2(5x + 11)
(12 + 12x) = 2(5x + 11)

Reorder the terms:
12 + 12x = 2(11 + 5x)
12 + 12x = (11 * 2 + 5x * 2)
12 + 12x = (22 + 10x)

Solving
12 + 12x = 22 + 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 = 22 + 10x + -10x

Combine like terms: 12x + -10x = 2x
12 + 2x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 2x = 22 + 0
12 + 2x = 22

Add '-12' to each side of the equation.
12 + -12 + 2x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 22 + -12
2x = 22 + -12

Combine like terms: 22 + -12 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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