6x-20=8(3x-17)

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Solution for 6x-20=8(3x-17) equation:


Simplifying
6x + -20 = 8(3x + -17)

Reorder the terms:
-20 + 6x = 8(3x + -17)

Reorder the terms:
-20 + 6x = 8(-17 + 3x)
-20 + 6x = (-17 * 8 + 3x * 8)
-20 + 6x = (-136 + 24x)

Solving
-20 + 6x = -136 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-20 + 6x + -24x = -136 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-20 + -18x = -136 + 24x + -24x

Combine like terms: 24x + -24x = 0
-20 + -18x = -136 + 0
-20 + -18x = -136

Add '20' to each side of the equation.
-20 + 20 + -18x = -136 + 20

Combine like terms: -20 + 20 = 0
0 + -18x = -136 + 20
-18x = -136 + 20

Combine like terms: -136 + 20 = -116
-18x = -116

Divide each side by '-18'.
x = 6.444444444

Simplifying
x = 6.444444444

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