5(2-x)=-x+6

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Solution for 5(2-x)=-x+6 equation:


Simplifying
5(2 + -1x) = -1x + 6
(2 * 5 + -1x * 5) = -1x + 6
(10 + -5x) = -1x + 6

Reorder the terms:
10 + -5x = 6 + -1x

Solving
10 + -5x = 6 + -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.
10 + -5x + x = 6 + -1x + x

Combine like terms: -5x + x = -4x
10 + -4x = 6 + -1x + x

Combine like terms: -1x + x = 0
10 + -4x = 6 + 0
10 + -4x = 6

Add '-10' to each side of the equation.
10 + -10 + -4x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 6 + -10
-4x = 6 + -10

Combine like terms: 6 + -10 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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