7(2-x)+10=-10(x-4)-8

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Solution for 7(2-x)+10=-10(x-4)-8 equation: 


Simplifying
7(2 + -1x) + 10 = -10(x + -4) + -8
(2 * 7 + -1x * 7) + 10 = -10(x + -4) + -8
(14 + -7x) + 10 = -10(x + -4) + -8

Reorder the terms:
14 + 10 + -7x = -10(x + -4) + -8

Combine like terms: 14 + 10 = 24
24 + -7x = -10(x + -4) + -8

Reorder the terms:
24 + -7x = -10(-4 + x) + -8
24 + -7x = (-4 * -10 + x * -10) + -8
24 + -7x = (40 + -10x) + -8

Reorder the terms:
24 + -7x = 40 + -8 + -10x

Combine like terms: 40 + -8 = 32
24 + -7x = 32 + -10x

Solving
24 + -7x = 32 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
24 + -7x + 10x = 32 + -10x + 10x

Combine like terms: -7x + 10x = 3x
24 + 3x = 32 + -10x + 10x

Combine like terms: -10x + 10x = 0
24 + 3x = 32 + 0
24 + 3x = 32

Add '-24' to each side of the equation.
24 + -24 + 3x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 32 + -24
3x = 32 + -24

Combine like terms: 32 + -24 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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