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

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


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

Reorder the terms:
2(-6 + x) + 5 = 3x + -3
(-6 * 2 + x * 2) + 5 = 3x + -3
(-12 + 2x) + 5 = 3x + -3

Reorder the terms:
-12 + 5 + 2x = 3x + -3

Combine like terms: -12 + 5 = -7
-7 + 2x = 3x + -3

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

Solving
-7 + 2x = -3 + 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.
-7 + 2x + -3x = -3 + 3x + -3x

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

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

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

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

Combine like terms: -3 + 7 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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