4(2x-(3-x)+5)=-(-2+7x)

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Solution for 4(2x-(3-x)+5)=-(-2+7x) equation:


Simplifying
4(2x + -1(3 + -1x) + 5) = -1(-2 + 7x)
4(2x + (3 * -1 + -1x * -1) + 5) = -1(-2 + 7x)
4(2x + (-3 + 1x) + 5) = -1(-2 + 7x)

Reorder the terms:
4(-3 + 5 + 2x + 1x) = -1(-2 + 7x)

Combine like terms: -3 + 5 = 2
4(2 + 2x + 1x) = -1(-2 + 7x)

Combine like terms: 2x + 1x = 3x
4(2 + 3x) = -1(-2 + 7x)
(2 * 4 + 3x * 4) = -1(-2 + 7x)
(8 + 12x) = -1(-2 + 7x)
8 + 12x = (-2 * -1 + 7x * -1)
8 + 12x = (2 + -7x)

Solving
8 + 12x = 2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 12x + 7x = 2 + -7x + 7x

Combine like terms: 12x + 7x = 19x
8 + 19x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 19x = 2 + 0
8 + 19x = 2

Add '-8' to each side of the equation.
8 + -8 + 19x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 19x = 2 + -8
19x = 2 + -8

Combine like terms: 2 + -8 = -6
19x = -6

Divide each side by '19'.
x = -0.3157894737

Simplifying
x = -0.3157894737

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