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

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


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

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

Reorder the terms:
-10 + 5x = 8 + -5 + -2x + -1x

Combine like terms: 8 + -5 = 3
-10 + 5x = 3 + -2x + -1x

Combine like terms: -2x + -1x = -3x
-10 + 5x = 3 + -3x

Solving
-10 + 5x = 3 + -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.
-10 + 5x + 3x = 3 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-10 + 8x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 8x = 3 + 0
-10 + 8x = 3

Add '10' to each side of the equation.
-10 + 10 + 8x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 3 + 10
8x = 3 + 10

Combine like terms: 3 + 10 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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