10(x+2)-4(x-1)=3(x-2)+2(x-1)

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Solution for 10(x+2)-4(x-1)=3(x-2)+2(x-1) equation: 


Simplifying
10(x + 2) + -4(x + -1) = 3(x + -2) + 2(x + -1)

Reorder the terms:
10(2 + x) + -4(x + -1) = 3(x + -2) + 2(x + -1)
(2 * 10 + x * 10) + -4(x + -1) = 3(x + -2) + 2(x + -1)
(20 + 10x) + -4(x + -1) = 3(x + -2) + 2(x + -1)

Reorder the terms:
20 + 10x + -4(-1 + x) = 3(x + -2) + 2(x + -1)
20 + 10x + (-1 * -4 + x * -4) = 3(x + -2) + 2(x + -1)
20 + 10x + (4 + -4x) = 3(x + -2) + 2(x + -1)

Reorder the terms:
20 + 4 + 10x + -4x = 3(x + -2) + 2(x + -1)

Combine like terms: 20 + 4 = 24
24 + 10x + -4x = 3(x + -2) + 2(x + -1)

Combine like terms: 10x + -4x = 6x
24 + 6x = 3(x + -2) + 2(x + -1)

Reorder the terms:
24 + 6x = 3(-2 + x) + 2(x + -1)
24 + 6x = (-2 * 3 + x * 3) + 2(x + -1)
24 + 6x = (-6 + 3x) + 2(x + -1)

Reorder the terms:
24 + 6x = -6 + 3x + 2(-1 + x)
24 + 6x = -6 + 3x + (-1 * 2 + x * 2)
24 + 6x = -6 + 3x + (-2 + 2x)

Reorder the terms:
24 + 6x = -6 + -2 + 3x + 2x

Combine like terms: -6 + -2 = -8
24 + 6x = -8 + 3x + 2x

Combine like terms: 3x + 2x = 5x
24 + 6x = -8 + 5x

Solving
24 + 6x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 6x + -5x = -8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
24 + 1x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 1x = -8 + 0
24 + 1x = -8

Add '-24' to each side of the equation.
24 + -24 + 1x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = -8 + -24
1x = -8 + -24

Combine like terms: -8 + -24 = -32
1x = -32

Divide each side by '1'.
x = -32

Simplifying
x = -32

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