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

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


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

Reorder the terms:
4x + -7 + 2(5 + 4x) = -2(x + 2)
4x + -7 + (5 * 2 + 4x * 2) = -2(x + 2)
4x + -7 + (10 + 8x) = -2(x + 2)

Reorder the terms:
-7 + 10 + 4x + 8x = -2(x + 2)

Combine like terms: -7 + 10 = 3
3 + 4x + 8x = -2(x + 2)

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

Reorder the terms:
3 + 12x = -2(2 + x)
3 + 12x = (2 * -2 + x * -2)
3 + 12x = (-4 + -2x)

Solving
3 + 12x = -4 + -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 + 12x + 2x = -4 + -2x + 2x

Combine like terms: 12x + 2x = 14x
3 + 14x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 14x = -4 + 0
3 + 14x = -4

Add '-3' to each side of the equation.
3 + -3 + 14x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = -4 + -3
14x = -4 + -3

Combine like terms: -4 + -3 = -7
14x = -7

Divide each side by '14'.
x = -0.5

Simplifying
x = -0.5

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