3*(3x+4)=5*12-4*(2x-5)

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Solution for 3*(3x+4)=5*12-4*(2x-5) equation:


Simplifying
3(3x + 4) = 5 * 12 + -4(2x + -5)

Reorder the terms:
3(4 + 3x) = 5 * 12 + -4(2x + -5)
(4 * 3 + 3x * 3) = 5 * 12 + -4(2x + -5)
(12 + 9x) = 5 * 12 + -4(2x + -5)

Multiply 5 * 12
12 + 9x = 60 + -4(2x + -5)

Reorder the terms:
12 + 9x = 60 + -4(-5 + 2x)
12 + 9x = 60 + (-5 * -4 + 2x * -4)
12 + 9x = 60 + (20 + -8x)

Combine like terms: 60 + 20 = 80
12 + 9x = 80 + -8x

Solving
12 + 9x = 80 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + 9x + 8x = 80 + -8x + 8x

Combine like terms: 9x + 8x = 17x
12 + 17x = 80 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 17x = 80 + 0
12 + 17x = 80

Add '-12' to each side of the equation.
12 + -12 + 17x = 80 + -12

Combine like terms: 12 + -12 = 0
0 + 17x = 80 + -12
17x = 80 + -12

Combine like terms: 80 + -12 = 68
17x = 68

Divide each side by '17'.
x = 4

Simplifying
x = 4

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