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

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


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

Reorder the terms:
3(-5 + 2x) + 2 = (3x + -1) + -2(x + -4)
(-5 * 3 + 2x * 3) + 2 = (3x + -1) + -2(x + -4)
(-15 + 6x) + 2 = (3x + -1) + -2(x + -4)

Reorder the terms:
-15 + 2 + 6x = (3x + -1) + -2(x + -4)

Combine like terms: -15 + 2 = -13
-13 + 6x = (3x + -1) + -2(x + -4)

Reorder the terms:
-13 + 6x = (-1 + 3x) + -2(x + -4)

Remove parenthesis around (-1 + 3x)
-13 + 6x = -1 + 3x + -2(x + -4)

Reorder the terms:
-13 + 6x = -1 + 3x + -2(-4 + x)
-13 + 6x = -1 + 3x + (-4 * -2 + x * -2)
-13 + 6x = -1 + 3x + (8 + -2x)

Reorder the terms:
-13 + 6x = -1 + 8 + 3x + -2x

Combine like terms: -1 + 8 = 7
-13 + 6x = 7 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 6x = 7 + 1x

Solving
-13 + 6x = 7 + 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.
-13 + 6x + -1x = 7 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-13 + 5x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-13 + 5x = 7 + 0
-13 + 5x = 7

Add '13' to each side of the equation.
-13 + 13 + 5x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 7 + 13
5x = 7 + 13

Combine like terms: 7 + 13 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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