2(x+2)=-3(5x-2)+7x

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Solution for 2(x+2)=-3(5x-2)+7x equation:


Simplifying
2(x + 2) = -3(5x + -2) + 7x

Reorder the terms:
2(2 + x) = -3(5x + -2) + 7x
(2 * 2 + x * 2) = -3(5x + -2) + 7x
(4 + 2x) = -3(5x + -2) + 7x

Reorder the terms:
4 + 2x = -3(-2 + 5x) + 7x
4 + 2x = (-2 * -3 + 5x * -3) + 7x
4 + 2x = (6 + -15x) + 7x

Combine like terms: -15x + 7x = -8x
4 + 2x = 6 + -8x

Solving
4 + 2x = 6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4 + 2x + 8x = 6 + -8x + 8x

Combine like terms: 2x + 8x = 10x
4 + 10x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 10x = 6 + 0
4 + 10x = 6

Add '-4' to each side of the equation.
4 + -4 + 10x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 6 + -4
10x = 6 + -4

Combine like terms: 6 + -4 = 2
10x = 2

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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