2(3x-4)+5=3(6-x)+2x

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Solution for 2(3x-4)+5=3(6-x)+2x equation:


Simplifying
2(3x + -4) + 5 = 3(6 + -1x) + 2x

Reorder the terms:
2(-4 + 3x) + 5 = 3(6 + -1x) + 2x
(-4 * 2 + 3x * 2) + 5 = 3(6 + -1x) + 2x
(-8 + 6x) + 5 = 3(6 + -1x) + 2x

Reorder the terms:
-8 + 5 + 6x = 3(6 + -1x) + 2x

Combine like terms: -8 + 5 = -3
-3 + 6x = 3(6 + -1x) + 2x
-3 + 6x = (6 * 3 + -1x * 3) + 2x
-3 + 6x = (18 + -3x) + 2x

Combine like terms: -3x + 2x = -1x
-3 + 6x = 18 + -1x

Solving
-3 + 6x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 6x + x = 18 + -1x + x

Combine like terms: 6x + x = 7x
-3 + 7x = 18 + -1x + x

Combine like terms: -1x + x = 0
-3 + 7x = 18 + 0
-3 + 7x = 18

Add '3' to each side of the equation.
-3 + 3 + 7x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 18 + 3
7x = 18 + 3

Combine like terms: 18 + 3 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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