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

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


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

Reorder the terms:
4(-2 + x) = -1(x + 3)
(-2 * 4 + x * 4) = -1(x + 3)
(-8 + 4x) = -1(x + 3)

Reorder the terms:
-8 + 4x = -1(3 + x)
-8 + 4x = (3 * -1 + x * -1)
-8 + 4x = (-3 + -1x)

Solving
-8 + 4x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 4x + x = -3 + -1x + x

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

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

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

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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