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

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


Simplifying
3(4 + -1x) = 5(2x + 2)
(4 * 3 + -1x * 3) = 5(2x + 2)
(12 + -3x) = 5(2x + 2)

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

Solving
12 + -3x = 10 + 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 + -3x + -10x = 10 + 10x + -10x

Combine like terms: -3x + -10x = -13x
12 + -13x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -13x = 10 + 0
12 + -13x = 10

Add '-12' to each side of the equation.
12 + -12 + -13x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = 10 + -12
-13x = 10 + -12

Combine like terms: 10 + -12 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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