-6(x-3)+5=-2x+10

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Solution for -6(x-3)+5=-2x+10 equation:


Simplifying
-6(x + -3) + 5 = -2x + 10

Reorder the terms:
-6(-3 + x) + 5 = -2x + 10
(-3 * -6 + x * -6) + 5 = -2x + 10
(18 + -6x) + 5 = -2x + 10

Reorder the terms:
18 + 5 + -6x = -2x + 10

Combine like terms: 18 + 5 = 23
23 + -6x = -2x + 10

Reorder the terms:
23 + -6x = 10 + -2x

Solving
23 + -6x = 10 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
23 + -6x + 2x = 10 + -2x + 2x

Combine like terms: -6x + 2x = -4x
23 + -4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + -4x = 10 + 0
23 + -4x = 10

Add '-23' to each side of the equation.
23 + -23 + -4x = 10 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = 10 + -23
-4x = 10 + -23

Combine like terms: 10 + -23 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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