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

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Solution for 1-(3+x)=5+4(2-x) equation:


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

Combine like terms: 1 + -3 = -2
-2 + -1x = 5 + 4(2 + -1x)
-2 + -1x = 5 + (2 * 4 + -1x * 4)
-2 + -1x = 5 + (8 + -4x)

Combine like terms: 5 + 8 = 13
-2 + -1x = 13 + -4x

Solving
-2 + -1x = 13 + -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.
-2 + -1x + 4x = 13 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-2 + 3x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 3x = 13 + 0
-2 + 3x = 13

Add '2' to each side of the equation.
-2 + 2 + 3x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 13 + 2
3x = 13 + 2

Combine like terms: 13 + 2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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