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

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


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

Reorder the terms:
2(2 + 5x) = -5(3x + -2) + -4x
(2 * 2 + 5x * 2) = -5(3x + -2) + -4x
(4 + 10x) = -5(3x + -2) + -4x

Reorder the terms:
4 + 10x = -5(-2 + 3x) + -4x
4 + 10x = (-2 * -5 + 3x * -5) + -4x
4 + 10x = (10 + -15x) + -4x

Combine like terms: -15x + -4x = -19x
4 + 10x = 10 + -19x

Solving
4 + 10x = 10 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
4 + 10x + 19x = 10 + -19x + 19x

Combine like terms: 10x + 19x = 29x
4 + 29x = 10 + -19x + 19x

Combine like terms: -19x + 19x = 0
4 + 29x = 10 + 0
4 + 29x = 10

Add '-4' to each side of the equation.
4 + -4 + 29x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 29x = 10 + -4
29x = 10 + -4

Combine like terms: 10 + -4 = 6
29x = 6

Divide each side by '29'.
x = 0.2068965517

Simplifying
x = 0.2068965517

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