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

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


Simplifying
5x + -2(3 + -1x) = -1(4 + -1x)
5x + (3 * -2 + -1x * -2) = -1(4 + -1x)
5x + (-6 + 2x) = -1(4 + -1x)

Reorder the terms:
-6 + 5x + 2x = -1(4 + -1x)

Combine like terms: 5x + 2x = 7x
-6 + 7x = -1(4 + -1x)
-6 + 7x = (4 * -1 + -1x * -1)
-6 + 7x = (-4 + 1x)

Solving
-6 + 7x = -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.
-6 + 7x + -1x = -4 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 6x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 6x = -4 + 0
-6 + 6x = -4

Add '6' to each side of the equation.
-6 + 6 + 6x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = -4 + 6
6x = -4 + 6

Combine like terms: -4 + 6 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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