3(4x+2)-5(x+7)=99

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Solution for 3(4x+2)-5(x+7)=99 equation:


Simplifying
3(4x + 2) + -5(x + 7) = 99

Reorder the terms:
3(2 + 4x) + -5(x + 7) = 99
(2 * 3 + 4x * 3) + -5(x + 7) = 99
(6 + 12x) + -5(x + 7) = 99

Reorder the terms:
6 + 12x + -5(7 + x) = 99
6 + 12x + (7 * -5 + x * -5) = 99
6 + 12x + (-35 + -5x) = 99

Reorder the terms:
6 + -35 + 12x + -5x = 99

Combine like terms: 6 + -35 = -29
-29 + 12x + -5x = 99

Combine like terms: 12x + -5x = 7x
-29 + 7x = 99

Solving
-29 + 7x = 99

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 7x = 99 + 29

Combine like terms: -29 + 29 = 0
0 + 7x = 99 + 29
7x = 99 + 29

Combine like terms: 99 + 29 = 128
7x = 128

Divide each side by '7'.
x = 18.28571429

Simplifying
x = 18.28571429

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