3(x+5)+2(3*x)+24=32*4+2(x-3)-2

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Solution for 3(x+5)+2(3*x)+24=32*4+2(x-3)-2 equation: 


Simplifying
3(x + 5) + 2(3x) + 24 = 32 * 4 + 2(x + -3) + -2

Reorder the terms:
3(5 + x) + 2(3x) + 24 = 32 * 4 + 2(x + -3) + -2
(5 * 3 + x * 3) + 2(3x) + 24 = 32 * 4 + 2(x + -3) + -2
(15 + 3x) + 2(3x) + 24 = 32 * 4 + 2(x + -3) + -2

Remove parenthesis around (3x)
15 + 3x + 2 * 3x + 24 = 32 * 4 + 2(x + -3) + -2

Multiply 2 * 3
15 + 3x + 6x + 24 = 32 * 4 + 2(x + -3) + -2

Reorder the terms:
15 + 24 + 3x + 6x = 32 * 4 + 2(x + -3) + -2

Combine like terms: 15 + 24 = 39
39 + 3x + 6x = 32 * 4 + 2(x + -3) + -2

Combine like terms: 3x + 6x = 9x
39 + 9x = 32 * 4 + 2(x + -3) + -2

Multiply 32 * 4
39 + 9x = 128 + 2(x + -3) + -2

Reorder the terms:
39 + 9x = 128 + 2(-3 + x) + -2
39 + 9x = 128 + (-3 * 2 + x * 2) + -2
39 + 9x = 128 + (-6 + 2x) + -2

Reorder the terms:
39 + 9x = 128 + -6 + -2 + 2x

Combine like terms: 128 + -6 = 122
39 + 9x = 122 + -2 + 2x

Combine like terms: 122 + -2 = 120
39 + 9x = 120 + 2x

Solving
39 + 9x = 120 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
39 + 9x + -2x = 120 + 2x + -2x

Combine like terms: 9x + -2x = 7x
39 + 7x = 120 + 2x + -2x

Combine like terms: 2x + -2x = 0
39 + 7x = 120 + 0
39 + 7x = 120

Add '-39' to each side of the equation.
39 + -39 + 7x = 120 + -39

Combine like terms: 39 + -39 = 0
0 + 7x = 120 + -39
7x = 120 + -39

Combine like terms: 120 + -39 = 81
7x = 81

Divide each side by '7'.
x = 11.57142857

Simplifying
x = 11.57142857

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