2(3x-7)+6=3x+8-1

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Solution for 2(3x-7)+6=3x+8-1 equation:


Simplifying
2(3x + -7) + 6 = 3x + 8 + -1

Reorder the terms:
2(-7 + 3x) + 6 = 3x + 8 + -1
(-7 * 2 + 3x * 2) + 6 = 3x + 8 + -1
(-14 + 6x) + 6 = 3x + 8 + -1

Reorder the terms:
-14 + 6 + 6x = 3x + 8 + -1

Combine like terms: -14 + 6 = -8
-8 + 6x = 3x + 8 + -1

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

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

Solving
-8 + 6x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 6x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-8 + 3x = 7 + 0
-8 + 3x = 7

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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