2(3x-4)-7=3x+1+x

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Solution for 2(3x-4)-7=3x+1+x equation:


Simplifying
2(3x + -4) + -7 = 3x + 1 + x

Reorder the terms:
2(-4 + 3x) + -7 = 3x + 1 + x
(-4 * 2 + 3x * 2) + -7 = 3x + 1 + x
(-8 + 6x) + -7 = 3x + 1 + x

Reorder the terms:
-8 + -7 + 6x = 3x + 1 + x

Combine like terms: -8 + -7 = -15
-15 + 6x = 3x + 1 + x

Reorder the terms:
-15 + 6x = 1 + 3x + x

Combine like terms: 3x + x = 4x
-15 + 6x = 1 + 4x

Solving
-15 + 6x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-15 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 2x = 1 + 0
-15 + 2x = 1

Add '15' to each side of the equation.
-15 + 15 + 2x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 1 + 15
2x = 1 + 15

Combine like terms: 1 + 15 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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