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

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


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

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

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

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

Combine like terms: 3x + -2x = 1x
5 + 5x = -2 + 1x

Solving
5 + 5x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 5x + -1x = -2 + 1x + -1x

Combine like terms: 5x + -1x = 4x
5 + 4x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 4x = -2 + 0
5 + 4x = -2

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

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

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

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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