-6(x-5)+4=-x+13

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Solution for -6(x-5)+4=-x+13 equation:


Simplifying
-6(x + -5) + 4 = -1x + 13

Reorder the terms:
-6(-5 + x) + 4 = -1x + 13
(-5 * -6 + x * -6) + 4 = -1x + 13
(30 + -6x) + 4 = -1x + 13

Reorder the terms:
30 + 4 + -6x = -1x + 13

Combine like terms: 30 + 4 = 34
34 + -6x = -1x + 13

Reorder the terms:
34 + -6x = 13 + -1x

Solving
34 + -6x = 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.
34 + -6x + x = 13 + -1x + x

Combine like terms: -6x + x = -5x
34 + -5x = 13 + -1x + x

Combine like terms: -1x + x = 0
34 + -5x = 13 + 0
34 + -5x = 13

Add '-34' to each side of the equation.
34 + -34 + -5x = 13 + -34

Combine like terms: 34 + -34 = 0
0 + -5x = 13 + -34
-5x = 13 + -34

Combine like terms: 13 + -34 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2

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