-6(x-5)=-3(x+1)+3

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Solution for -6(x-5)=-3(x+1)+3 equation:


Simplifying
-6(x + -5) = -3(x + 1) + 3

Reorder the terms:
-6(-5 + x) = -3(x + 1) + 3
(-5 * -6 + x * -6) = -3(x + 1) + 3
(30 + -6x) = -3(x + 1) + 3

Reorder the terms:
30 + -6x = -3(1 + x) + 3
30 + -6x = (1 * -3 + x * -3) + 3
30 + -6x = (-3 + -3x) + 3

Reorder the terms:
30 + -6x = -3 + 3 + -3x

Combine like terms: -3 + 3 = 0
30 + -6x = 0 + -3x
30 + -6x = -3x

Solving
30 + -6x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
30 + -6x + 3x = -3x + 3x

Combine like terms: -6x + 3x = -3x
30 + -3x = -3x + 3x

Combine like terms: -3x + 3x = 0
30 + -3x = 0

Add '-30' to each side of the equation.
30 + -30 + -3x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = 0 + -30
-3x = 0 + -30

Combine like terms: 0 + -30 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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