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

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


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

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

Reorder the terms:
-8 + -1 + 6x = 2x + 7

Combine like terms: -8 + -1 = -9
-9 + 6x = 2x + 7

Reorder the terms:
-9 + 6x = 7 + 2x

Solving
-9 + 6x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 6x + -2x = 7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = 7 + 0
-9 + 4x = 7

Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9

Combine like terms: 7 + 9 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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