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

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


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

Reorder the terms:
5x + -3(-6 + x) = 3x + -7
5x + (-6 * -3 + x * -3) = 3x + -7
5x + (18 + -3x) = 3x + -7

Reorder the terms:
18 + 5x + -3x = 3x + -7

Combine like terms: 5x + -3x = 2x
18 + 2x = 3x + -7

Reorder the terms:
18 + 2x = -7 + 3x

Solving
18 + 2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
18 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -1x = -7 + 0
18 + -1x = -7

Add '-18' to each side of the equation.
18 + -18 + -1x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = -7 + -18
-1x = -7 + -18

Combine like terms: -7 + -18 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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