4(x-3)=-(x-13)

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Solution for 4(x-3)=-(x-13) equation:


Simplifying
4(x + -3) = -1(x + -13)

Reorder the terms:
4(-3 + x) = -1(x + -13)
(-3 * 4 + x * 4) = -1(x + -13)
(-12 + 4x) = -1(x + -13)

Reorder the terms:
-12 + 4x = -1(-13 + x)
-12 + 4x = (-13 * -1 + x * -1)
-12 + 4x = (13 + -1x)

Solving
-12 + 4x = 13 + -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.
-12 + 4x + x = 13 + -1x + x

Combine like terms: 4x + x = 5x
-12 + 5x = 13 + -1x + x

Combine like terms: -1x + x = 0
-12 + 5x = 13 + 0
-12 + 5x = 13

Add '12' to each side of the equation.
-12 + 12 + 5x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 13 + 12
5x = 13 + 12

Combine like terms: 13 + 12 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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