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

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


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

Reorder the terms:
5(-3 + x) = -1(4 + -1x)
(-3 * 5 + x * 5) = -1(4 + -1x)
(-15 + 5x) = -1(4 + -1x)
-15 + 5x = (4 * -1 + -1x * -1)
-15 + 5x = (-4 + 1x)

Solving
-15 + 5x = -4 + 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.
-15 + 5x + -1x = -4 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-15 + 4x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-15 + 4x = -4 + 0
-15 + 4x = -4

Add '15' to each side of the equation.
-15 + 15 + 4x = -4 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = -4 + 15
4x = -4 + 15

Combine like terms: -4 + 15 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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