12(x+45)-3(2x+4)=7(-2)+24

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Solution for 12(x+45)-3(2x+4)=7(-2)+24 equation: 


Simplifying
12(x + 45) + -3(2x + 4) = 7(-2) + 24

Reorder the terms:
12(45 + x) + -3(2x + 4) = 7(-2) + 24
(45 * 12 + x * 12) + -3(2x + 4) = 7(-2) + 24
(540 + 12x) + -3(2x + 4) = 7(-2) + 24

Reorder the terms:
540 + 12x + -3(4 + 2x) = 7(-2) + 24
540 + 12x + (4 * -3 + 2x * -3) = 7(-2) + 24
540 + 12x + (-12 + -6x) = 7(-2) + 24

Reorder the terms:
540 + -12 + 12x + -6x = 7(-2) + 24

Combine like terms: 540 + -12 = 528
528 + 12x + -6x = 7(-2) + 24

Combine like terms: 12x + -6x = 6x
528 + 6x = 7(-2) + 24

Multiply 7 * -2
528 + 6x = -14 + 24

Combine like terms: -14 + 24 = 10
528 + 6x = 10

Solving
528 + 6x = 10

Solving for variable 'x'.

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

Add '-528' to each side of the equation.
528 + -528 + 6x = 10 + -528

Combine like terms: 528 + -528 = 0
0 + 6x = 10 + -528
6x = 10 + -528

Combine like terms: 10 + -528 = -518
6x = -518

Divide each side by '6'.
x = -86.33333333

Simplifying
x = -86.33333333

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