2(x-3)+22=4x+30

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Solution for 2(x-3)+22=4x+30 equation:


Simplifying
2(x + -3) + 22 = 4x + 30

Reorder the terms:
2(-3 + x) + 22 = 4x + 30
(-3 * 2 + x * 2) + 22 = 4x + 30
(-6 + 2x) + 22 = 4x + 30

Reorder the terms:
-6 + 22 + 2x = 4x + 30

Combine like terms: -6 + 22 = 16
16 + 2x = 4x + 30

Reorder the terms:
16 + 2x = 30 + 4x

Solving
16 + 2x = 30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 2x + -4x = 30 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = 30 + 0
16 + -2x = 30

Add '-16' to each side of the equation.
16 + -16 + -2x = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 30 + -16
-2x = 30 + -16

Combine like terms: 30 + -16 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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