6x-8=4(2x+5)

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Solution for 6x-8=4(2x+5) equation:


Simplifying
6x + -8 = 4(2x + 5)

Reorder the terms:
-8 + 6x = 4(2x + 5)

Reorder the terms:
-8 + 6x = 4(5 + 2x)
-8 + 6x = (5 * 4 + 2x * 4)
-8 + 6x = (20 + 8x)

Solving
-8 + 6x = 20 + 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.
-8 + 6x + -8x = 20 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-8 + -2x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + -2x = 20 + 0
-8 + -2x = 20

Add '8' to each side of the equation.
-8 + 8 + -2x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 20 + 8
-2x = 20 + 8

Combine like terms: 20 + 8 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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