7(x+10)+2=-5(x-3)-4

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Solution for 7(x+10)+2=-5(x-3)-4 equation:


Simplifying
7(x + 10) + 2 = -5(x + -3) + -4

Reorder the terms:
7(10 + x) + 2 = -5(x + -3) + -4
(10 * 7 + x * 7) + 2 = -5(x + -3) + -4
(70 + 7x) + 2 = -5(x + -3) + -4

Reorder the terms:
70 + 2 + 7x = -5(x + -3) + -4

Combine like terms: 70 + 2 = 72
72 + 7x = -5(x + -3) + -4

Reorder the terms:
72 + 7x = -5(-3 + x) + -4
72 + 7x = (-3 * -5 + x * -5) + -4
72 + 7x = (15 + -5x) + -4

Reorder the terms:
72 + 7x = 15 + -4 + -5x

Combine like terms: 15 + -4 = 11
72 + 7x = 11 + -5x

Solving
72 + 7x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
72 + 7x + 5x = 11 + -5x + 5x

Combine like terms: 7x + 5x = 12x
72 + 12x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
72 + 12x = 11 + 0
72 + 12x = 11

Add '-72' to each side of the equation.
72 + -72 + 12x = 11 + -72

Combine like terms: 72 + -72 = 0
0 + 12x = 11 + -72
12x = 11 + -72

Combine like terms: 11 + -72 = -61
12x = -61

Divide each side by '12'.
x = -5.083333333

Simplifying
x = -5.083333333

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