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

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


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

Reorder the terms:
3(4 + 5x) = 2x(8 + -2)
(4 * 3 + 5x * 3) = 2x(8 + -2)
(12 + 15x) = 2x(8 + -2)

Combine like terms: 8 + -2 = 6
12 + 15x = 2x(6)

Reorder the terms for easier multiplication:
12 + 15x = 2 * 6x

Multiply 2 * 6
12 + 15x = 12x

Solving
12 + 15x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + 15x + -12x = 12x + -12x

Combine like terms: 15x + -12x = 3x
12 + 3x = 12x + -12x

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 0 + -12

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

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

Divide each side by '3'.
x = -4

Simplifying
x = -4

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