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

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


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

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

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

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

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

Solving
5 + 7x = -4 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
5 + 2x = -4 + 0
5 + 2x = -4

Add '-5' to each side of the equation.
5 + -5 + 2x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -4 + -5
2x = -4 + -5

Combine like terms: -4 + -5 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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