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

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


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

Reorder the terms:
2(3 + x) + -5x = 2(x + -1)
(3 * 2 + x * 2) + -5x = 2(x + -1)
(6 + 2x) + -5x = 2(x + -1)

Combine like terms: 2x + -5x = -3x
6 + -3x = 2(x + -1)

Reorder the terms:
6 + -3x = 2(-1 + x)
6 + -3x = (-1 * 2 + x * 2)
6 + -3x = (-2 + 2x)

Solving
6 + -3x = -2 + 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.
6 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = -2 + 0
6 + -5x = -2

Add '-6' to each side of the equation.
6 + -6 + -5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -2 + -6
-5x = -2 + -6

Combine like terms: -2 + -6 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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