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

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


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

Reorder the terms:
3(-3 + 2x) = 8x + -7
(-3 * 3 + 2x * 3) = 8x + -7
(-9 + 6x) = 8x + -7

Reorder the terms:
-9 + 6x = -7 + 8x

Solving
-9 + 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.
-9 + 6x + -8x = -7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-9 + -2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -2x = -7 + 0
-9 + -2x = -7

Add '9' to each side of the equation.
-9 + 9 + -2x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -7 + 9
-2x = -7 + 9

Combine like terms: -7 + 9 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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