32-2(4-5)-10=3(x+7)-18

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Solution for 32-2(4-5)-10=3(x+7)-18 equation: 


Simplifying
32 + -2(4 + -5) + -10 = 3(x + 7) + -18

Combine like terms: 4 + -5 = -1
32 + -2(-1) + -10 = 3(x + 7) + -18

Multiply -2 * -1
32 + 2 + -10 = 3(x + 7) + -18

Combine like terms: 32 + 2 = 34
34 + -10 = 3(x + 7) + -18

Combine like terms: 34 + -10 = 24
24 = 3(x + 7) + -18

Reorder the terms:
24 = 3(7 + x) + -18
24 = (7 * 3 + x * 3) + -18
24 = (21 + 3x) + -18

Reorder the terms:
24 = 21 + -18 + 3x

Combine like terms: 21 + -18 = 3
24 = 3 + 3x

Solving
24 = 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.
24 + -3x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -3x = 3 + 0
24 + -3x = 3

Add '-24' to each side of the equation.
24 + -24 + -3x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 3 + -24
-3x = 3 + -24

Combine like terms: 3 + -24 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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