4(5x+2)-5(3x+1)=2(x-1)

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Solution for 4(5x+2)-5(3x+1)=2(x-1) equation:


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

Reorder the terms:
4(2 + 5x) + -5(3x + 1) = 2(x + -1)
(2 * 4 + 5x * 4) + -5(3x + 1) = 2(x + -1)
(8 + 20x) + -5(3x + 1) = 2(x + -1)

Reorder the terms:
8 + 20x + -5(1 + 3x) = 2(x + -1)
8 + 20x + (1 * -5 + 3x * -5) = 2(x + -1)
8 + 20x + (-5 + -15x) = 2(x + -1)

Reorder the terms:
8 + -5 + 20x + -15x = 2(x + -1)

Combine like terms: 8 + -5 = 3
3 + 20x + -15x = 2(x + -1)

Combine like terms: 20x + -15x = 5x
3 + 5x = 2(x + -1)

Reorder the terms:
3 + 5x = 2(-1 + x)
3 + 5x = (-1 * 2 + x * 2)
3 + 5x = (-2 + 2x)

Solving
3 + 5x = -2 + 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.
3 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 3x = -2 + 0
3 + 3x = -2

Add '-3' to each side of the equation.
3 + -3 + 3x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = -2 + -3
3x = -2 + -3

Combine like terms: -2 + -3 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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