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

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


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

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

Combine like terms: 10 + -5 = 5
-8 + 4x = 5 + 1x

Solving
-8 + 4x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 4x + -1x = 5 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-8 + 3x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 3x = 5 + 0
-8 + 3x = 5

Add '8' to each side of the equation.
-8 + 8 + 3x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 5 + 8
3x = 5 + 8

Combine like terms: 5 + 8 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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