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

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


Simplifying
4(2 + -3x) + -6(x + -4) = 2(5 + -5x)
(2 * 4 + -3x * 4) + -6(x + -4) = 2(5 + -5x)
(8 + -12x) + -6(x + -4) = 2(5 + -5x)

Reorder the terms:
8 + -12x + -6(-4 + x) = 2(5 + -5x)
8 + -12x + (-4 * -6 + x * -6) = 2(5 + -5x)
8 + -12x + (24 + -6x) = 2(5 + -5x)

Reorder the terms:
8 + 24 + -12x + -6x = 2(5 + -5x)

Combine like terms: 8 + 24 = 32
32 + -12x + -6x = 2(5 + -5x)

Combine like terms: -12x + -6x = -18x
32 + -18x = 2(5 + -5x)
32 + -18x = (5 * 2 + -5x * 2)
32 + -18x = (10 + -10x)

Solving
32 + -18x = 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.
32 + -18x + 10x = 10 + -10x + 10x

Combine like terms: -18x + 10x = -8x
32 + -8x = 10 + -10x + 10x

Combine like terms: -10x + 10x = 0
32 + -8x = 10 + 0
32 + -8x = 10

Add '-32' to each side of the equation.
32 + -32 + -8x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = 10 + -32
-8x = 10 + -32

Combine like terms: 10 + -32 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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