-5(1-x)+x=-(7-4x)+7

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Solution for -5(1-x)+x=-(7-4x)+7 equation:


Simplifying
-5(1 + -1x) + x = -1(7 + -4x) + 7
(1 * -5 + -1x * -5) + x = -1(7 + -4x) + 7
(-5 + 5x) + x = -1(7 + -4x) + 7

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

Reorder the terms:
-5 + 6x = -7 + 7 + 4x

Combine like terms: -7 + 7 = 0
-5 + 6x = 0 + 4x
-5 + 6x = 4x

Solving
-5 + 6x = 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.
-5 + 6x + -4x = 4x + -4x

Combine like terms: 6x + -4x = 2x
-5 + 2x = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 2x = 0

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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