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

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Solution for 3-(x-2)=4(5+x) equation:


Simplifying
3 + -1(x + -2) = 4(5 + x)

Reorder the terms:
3 + -1(-2 + x) = 4(5 + x)
3 + (-2 * -1 + x * -1) = 4(5 + x)
3 + (2 + -1x) = 4(5 + x)

Combine like terms: 3 + 2 = 5
5 + -1x = 4(5 + x)
5 + -1x = (5 * 4 + x * 4)
5 + -1x = (20 + 4x)

Solving
5 + -1x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -1x + -4x = 20 + 4x + -4x

Combine like terms: -1x + -4x = -5x
5 + -5x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -5x = 20 + 0
5 + -5x = 20

Add '-5' to each side of the equation.
5 + -5 + -5x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 20 + -5
-5x = 20 + -5

Combine like terms: 20 + -5 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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