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

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


Simplifying
4(3 + -5x) + -4 = 3 + 2(x + -2)
(3 * 4 + -5x * 4) + -4 = 3 + 2(x + -2)
(12 + -20x) + -4 = 3 + 2(x + -2)

Reorder the terms:
12 + -4 + -20x = 3 + 2(x + -2)

Combine like terms: 12 + -4 = 8
8 + -20x = 3 + 2(x + -2)

Reorder the terms:
8 + -20x = 3 + 2(-2 + x)
8 + -20x = 3 + (-2 * 2 + x * 2)
8 + -20x = 3 + (-4 + 2x)

Combine like terms: 3 + -4 = -1
8 + -20x = -1 + 2x

Solving
8 + -20x = -1 + 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.
8 + -20x + -2x = -1 + 2x + -2x

Combine like terms: -20x + -2x = -22x
8 + -22x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -22x = -1 + 0
8 + -22x = -1

Add '-8' to each side of the equation.
8 + -8 + -22x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -22x = -1 + -8
-22x = -1 + -8

Combine like terms: -1 + -8 = -9
-22x = -9

Divide each side by '-22'.
x = 0.4090909091

Simplifying
x = 0.4090909091

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