6(x+9)+3=-8(x-10)-8

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Solution for 6(x+9)+3=-8(x-10)-8 equation:


Simplifying
6(x + 9) + 3 = -8(x + -10) + -8

Reorder the terms:
6(9 + x) + 3 = -8(x + -10) + -8
(9 * 6 + x * 6) + 3 = -8(x + -10) + -8
(54 + 6x) + 3 = -8(x + -10) + -8

Reorder the terms:
54 + 3 + 6x = -8(x + -10) + -8

Combine like terms: 54 + 3 = 57
57 + 6x = -8(x + -10) + -8

Reorder the terms:
57 + 6x = -8(-10 + x) + -8
57 + 6x = (-10 * -8 + x * -8) + -8
57 + 6x = (80 + -8x) + -8

Reorder the terms:
57 + 6x = 80 + -8 + -8x

Combine like terms: 80 + -8 = 72
57 + 6x = 72 + -8x

Solving
57 + 6x = 72 + -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.
57 + 6x + 8x = 72 + -8x + 8x

Combine like terms: 6x + 8x = 14x
57 + 14x = 72 + -8x + 8x

Combine like terms: -8x + 8x = 0
57 + 14x = 72 + 0
57 + 14x = 72

Add '-57' to each side of the equation.
57 + -57 + 14x = 72 + -57

Combine like terms: 57 + -57 = 0
0 + 14x = 72 + -57
14x = 72 + -57

Combine like terms: 72 + -57 = 15
14x = 15

Divide each side by '14'.
x = 1.071428571

Simplifying
x = 1.071428571

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