2(x-3)-5=3(x+2)-18

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Solution for 2(x-3)-5=3(x+2)-18 equation: 


Simplifying
2(x + -3) + -5 = 3(x + 2) + -18

Reorder the terms:
2(-3 + x) + -5 = 3(x + 2) + -18
(-3 * 2 + x * 2) + -5 = 3(x + 2) + -18
(-6 + 2x) + -5 = 3(x + 2) + -18

Reorder the terms:
-6 + -5 + 2x = 3(x + 2) + -18

Combine like terms: -6 + -5 = -11
-11 + 2x = 3(x + 2) + -18

Reorder the terms:
-11 + 2x = 3(2 + x) + -18
-11 + 2x = (2 * 3 + x * 3) + -18
-11 + 2x = (6 + 3x) + -18

Reorder the terms:
-11 + 2x = 6 + -18 + 3x

Combine like terms: 6 + -18 = -12
-11 + 2x = -12 + 3x

Solving
-11 + 2x = -12 + 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.
-11 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-11 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + -1x = -12 + 0
-11 + -1x = -12

Add '11' to each side of the equation.
-11 + 11 + -1x = -12 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -12 + 11
-1x = -12 + 11

Combine like terms: -12 + 11 = -1
-1x = -1

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

Simplifying
x = 1

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