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

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


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

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

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

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

Combine like terms: -4 + -6 = -10
5 + 7x = -10 + 4x

Solving
5 + 7x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 7x + -4x = -10 + 4x + -4x

Combine like terms: 7x + -4x = 3x
5 + 3x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 3x = -10 + 0
5 + 3x = -10

Add '-5' to each side of the equation.
5 + -5 + 3x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -10 + -5
3x = -10 + -5

Combine like terms: -10 + -5 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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