5(2x-1)+6=7x-8

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Solution for 5(2x-1)+6=7x-8 equation:


Simplifying
5(2x + -1) + 6 = 7x + -8

Reorder the terms:
5(-1 + 2x) + 6 = 7x + -8
(-1 * 5 + 2x * 5) + 6 = 7x + -8
(-5 + 10x) + 6 = 7x + -8

Reorder the terms:
-5 + 6 + 10x = 7x + -8

Combine like terms: -5 + 6 = 1
1 + 10x = 7x + -8

Reorder the terms:
1 + 10x = -8 + 7x

Solving
1 + 10x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 10x + -7x = -8 + 7x + -7x

Combine like terms: 10x + -7x = 3x
1 + 3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 3x = -8 + 0
1 + 3x = -8

Add '-1' to each side of the equation.
1 + -1 + 3x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -8 + -1
3x = -8 + -1

Combine like terms: -8 + -1 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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