8+5(x-4)=5-(x-10)-2x

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Solution for 8+5(x-4)=5-(x-10)-2x equation:


Simplifying
8 + 5(x + -4) = 5 + -1(x + -10) + -2x

Reorder the terms:
8 + 5(-4 + x) = 5 + -1(x + -10) + -2x
8 + (-4 * 5 + x * 5) = 5 + -1(x + -10) + -2x
8 + (-20 + 5x) = 5 + -1(x + -10) + -2x

Combine like terms: 8 + -20 = -12
-12 + 5x = 5 + -1(x + -10) + -2x

Reorder the terms:
-12 + 5x = 5 + -1(-10 + x) + -2x
-12 + 5x = 5 + (-10 * -1 + x * -1) + -2x
-12 + 5x = 5 + (10 + -1x) + -2x

Combine like terms: 5 + 10 = 15
-12 + 5x = 15 + -1x + -2x

Combine like terms: -1x + -2x = -3x
-12 + 5x = 15 + -3x

Solving
-12 + 5x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 5x + 3x = 15 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-12 + 8x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 8x = 15 + 0
-12 + 8x = 15

Add '12' to each side of the equation.
-12 + 12 + 8x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 15 + 12
8x = 15 + 12

Combine like terms: 15 + 12 = 27
8x = 27

Divide each side by '8'.
x = 3.375

Simplifying
x = 3.375

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