4(x+7)=2(x+20)-5(3-2x)+3

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Solution for 4(x+7)=2(x+20)-5(3-2x)+3 equation:


Simplifying
4(x + 7) = 2(x + 20) + -5(3 + -2x) + 3

Reorder the terms:
4(7 + x) = 2(x + 20) + -5(3 + -2x) + 3
(7 * 4 + x * 4) = 2(x + 20) + -5(3 + -2x) + 3
(28 + 4x) = 2(x + 20) + -5(3 + -2x) + 3

Reorder the terms:
28 + 4x = 2(20 + x) + -5(3 + -2x) + 3
28 + 4x = (20 * 2 + x * 2) + -5(3 + -2x) + 3
28 + 4x = (40 + 2x) + -5(3 + -2x) + 3
28 + 4x = 40 + 2x + (3 * -5 + -2x * -5) + 3
28 + 4x = 40 + 2x + (-15 + 10x) + 3

Reorder the terms:
28 + 4x = 40 + -15 + 3 + 2x + 10x

Combine like terms: 40 + -15 = 25
28 + 4x = 25 + 3 + 2x + 10x

Combine like terms: 25 + 3 = 28
28 + 4x = 28 + 2x + 10x

Combine like terms: 2x + 10x = 12x
28 + 4x = 28 + 12x

Add '-28' to each side of the equation.
28 + -28 + 4x = 28 + -28 + 12x

Combine like terms: 28 + -28 = 0
0 + 4x = 28 + -28 + 12x
4x = 28 + -28 + 12x

Combine like terms: 28 + -28 = 0
4x = 0 + 12x
4x = 12x

Solving
4x = 12x

Solving for variable 'x'.

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

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

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

Combine like terms: 12x + -12x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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