6(x-3)=-2(x-5)+14

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Solution for 6(x-3)=-2(x-5)+14 equation:


Simplifying
6(x + -3) = -2(x + -5) + 14

Reorder the terms:
6(-3 + x) = -2(x + -5) + 14
(-3 * 6 + x * 6) = -2(x + -5) + 14
(-18 + 6x) = -2(x + -5) + 14

Reorder the terms:
-18 + 6x = -2(-5 + x) + 14
-18 + 6x = (-5 * -2 + x * -2) + 14
-18 + 6x = (10 + -2x) + 14

Reorder the terms:
-18 + 6x = 10 + 14 + -2x

Combine like terms: 10 + 14 = 24
-18 + 6x = 24 + -2x

Solving
-18 + 6x = 24 + -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.
-18 + 6x + 2x = 24 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-18 + 8x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 8x = 24 + 0
-18 + 8x = 24

Add '18' to each side of the equation.
-18 + 18 + 8x = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 24 + 18
8x = 24 + 18

Combine like terms: 24 + 18 = 42
8x = 42

Divide each side by '8'.
x = 5.25

Simplifying
x = 5.25

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