3(x-2)=(6x-7)-5x

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Solution for 3(x-2)=(6x-7)-5x equation:


Simplifying
3(x + -2) = (6x + -7) + -5x

Reorder the terms:
3(-2 + x) = (6x + -7) + -5x
(-2 * 3 + x * 3) = (6x + -7) + -5x
(-6 + 3x) = (6x + -7) + -5x

Reorder the terms:
-6 + 3x = (-7 + 6x) + -5x

Remove parenthesis around (-7 + 6x)
-6 + 3x = -7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-6 + 3x = -7 + 1x

Solving
-6 + 3x = -7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = -7 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 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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