5(2x-3)-1=8x-6

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Solution for 5(2x-3)-1=8x-6 equation:


Simplifying
5(2x + -3) + -1 = 8x + -6

Reorder the terms:
5(-3 + 2x) + -1 = 8x + -6
(-3 * 5 + 2x * 5) + -1 = 8x + -6
(-15 + 10x) + -1 = 8x + -6

Reorder the terms:
-15 + -1 + 10x = 8x + -6

Combine like terms: -15 + -1 = -16
-16 + 10x = 8x + -6

Reorder the terms:
-16 + 10x = -6 + 8x

Solving
-16 + 10x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + 10x + -8x = -6 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-16 + 2x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + 2x = -6 + 0
-16 + 2x = -6

Add '16' to each side of the equation.
-16 + 16 + 2x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -6 + 16
2x = -6 + 16

Combine like terms: -6 + 16 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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