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

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


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

Reorder the terms:
4(3 + x) + -5x = 2(3x + -1)
(3 * 4 + x * 4) + -5x = 2(3x + -1)
(12 + 4x) + -5x = 2(3x + -1)

Combine like terms: 4x + -5x = -1x
12 + -1x = 2(3x + -1)

Reorder the terms:
12 + -1x = 2(-1 + 3x)
12 + -1x = (-1 * 2 + 3x * 2)
12 + -1x = (-2 + 6x)

Solving
12 + -1x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
12 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -7x = -2 + 0
12 + -7x = -2

Add '-12' to each side of the equation.
12 + -12 + -7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -2 + -12
-7x = -2 + -12

Combine like terms: -2 + -12 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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