4(3+5(3-x)+2x)=6-2x

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Solution for 4(3+5(3-x)+2x)=6-2x equation:


Simplifying
4(3 + 5(3 + -1x) + 2x) = 6 + -2x
4(3 + (3 * 5 + -1x * 5) + 2x) = 6 + -2x
4(3 + (15 + -5x) + 2x) = 6 + -2x

Combine like terms: 3 + 15 = 18
4(18 + -5x + 2x) = 6 + -2x

Combine like terms: -5x + 2x = -3x
4(18 + -3x) = 6 + -2x
(18 * 4 + -3x * 4) = 6 + -2x
(72 + -12x) = 6 + -2x

Solving
72 + -12x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
72 + -12x + 2x = 6 + -2x + 2x

Combine like terms: -12x + 2x = -10x
72 + -10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
72 + -10x = 6 + 0
72 + -10x = 6

Add '-72' to each side of the equation.
72 + -72 + -10x = 6 + -72

Combine like terms: 72 + -72 = 0
0 + -10x = 6 + -72
-10x = 6 + -72

Combine like terms: 6 + -72 = -66
-10x = -66

Divide each side by '-10'.
x = 6.6

Simplifying
x = 6.6

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