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

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


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

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

Reorder the terms:
12 + 4 + -4x + -2x = 5(4 + -2x)

Combine like terms: 12 + 4 = 16
16 + -4x + -2x = 5(4 + -2x)

Combine like terms: -4x + -2x = -6x
16 + -6x = 5(4 + -2x)
16 + -6x = (4 * 5 + -2x * 5)
16 + -6x = (20 + -10x)

Solving
16 + -6x = 20 + -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.
16 + -6x + 10x = 20 + -10x + 10x

Combine like terms: -6x + 10x = 4x
16 + 4x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
16 + 4x = 20 + 0
16 + 4x = 20

Add '-16' to each side of the equation.
16 + -16 + 4x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 20 + -16
4x = 20 + -16

Combine like terms: 20 + -16 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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