(3+2x)4=6x+22

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Solution for (3+2x)4=6x+22 equation:


Simplifying
(3 + 2x) * 4 = 6x + 22

Reorder the terms for easier multiplication:
4(3 + 2x) = 6x + 22
(3 * 4 + 2x * 4) = 6x + 22
(12 + 8x) = 6x + 22

Reorder the terms:
12 + 8x = 22 + 6x

Solving
12 + 8x = 22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 8x + -6x = 22 + 6x + -6x

Combine like terms: 8x + -6x = 2x
12 + 2x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 2x = 22 + 0
12 + 2x = 22

Add '-12' to each side of the equation.
12 + -12 + 2x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 22 + -12
2x = 22 + -12

Combine like terms: 22 + -12 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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