2(3x-3)=8x-7

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


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

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

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

Solving
-6 + 6x = -7 + 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.
-6 + 6x + -8x = -7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-6 + -2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -2x = -7 + 0
-6 + -2x = -7

Add '6' to each side of the equation.
-6 + 6 + -2x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -7 + 6
-2x = -7 + 6

Combine like terms: -7 + 6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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