3(4x-5)-7=3x+6+2x

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Solution for 3(4x-5)-7=3x+6+2x equation:


Simplifying
3(4x + -5) + -7 = 3x + 6 + 2x

Reorder the terms:
3(-5 + 4x) + -7 = 3x + 6 + 2x
(-5 * 3 + 4x * 3) + -7 = 3x + 6 + 2x
(-15 + 12x) + -7 = 3x + 6 + 2x

Reorder the terms:
-15 + -7 + 12x = 3x + 6 + 2x

Combine like terms: -15 + -7 = -22
-22 + 12x = 3x + 6 + 2x

Reorder the terms:
-22 + 12x = 6 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-22 + 12x = 6 + 5x

Solving
-22 + 12x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-22 + 12x + -5x = 6 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-22 + 7x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + 7x = 6 + 0
-22 + 7x = 6

Add '22' to each side of the equation.
-22 + 22 + 7x = 6 + 22

Combine like terms: -22 + 22 = 0
0 + 7x = 6 + 22
7x = 6 + 22

Combine like terms: 6 + 22 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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