(3)(4x)+(3)(8)+8x=160-(2)(5x)

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Solution for (3)(4x)+(3)(8)+8x=160-(2)(5x) equation:


Simplifying
(3)(4x) + (3)(8) + 8x = 160 + -1(2)(5x)

Remove parenthesis around (4x)
3 * 4x + (3)(8) + 8x = 160 + -1(2)(5x)

Multiply 3 * 4
12x + (3)(8) + 8x = 160 + -1(2)(5x)

Multiply 3 * 8
12x + 24 + 8x = 160 + -1(2)(5x)

Reorder the terms:
24 + 12x + 8x = 160 + -1(2)(5x)

Combine like terms: 12x + 8x = 20x
24 + 20x = 160 + -1(2)(5x)

Remove parenthesis around (5x)
24 + 20x = 160 + -1 * 2 * 5x

Multiply -1 * 2
24 + 20x = 160 + -2 * 5x

Multiply -2 * 5
24 + 20x = 160 + -10x

Solving
24 + 20x = 160 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
24 + 20x + 10x = 160 + -10x + 10x

Combine like terms: 20x + 10x = 30x
24 + 30x = 160 + -10x + 10x

Combine like terms: -10x + 10x = 0
24 + 30x = 160 + 0
24 + 30x = 160

Add '-24' to each side of the equation.
24 + -24 + 30x = 160 + -24

Combine like terms: 24 + -24 = 0
0 + 30x = 160 + -24
30x = 160 + -24

Combine like terms: 160 + -24 = 136
30x = 136

Divide each side by '30'.
x = 4.533333333

Simplifying
x = 4.533333333

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