6(x-3)=-2x+46

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Solution for 6(x-3)=-2x+46 equation:


Simplifying
6(x + -3) = -2x + 46

Reorder the terms:
6(-3 + x) = -2x + 46
(-3 * 6 + x * 6) = -2x + 46
(-18 + 6x) = -2x + 46

Reorder the terms:
-18 + 6x = 46 + -2x

Solving
-18 + 6x = 46 + -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 = 46 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-18 + 8x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 8x = 46 + 0
-18 + 8x = 46

Add '18' to each side of the equation.
-18 + 18 + 8x = 46 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 46 + 18
8x = 46 + 18

Combine like terms: 46 + 18 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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