4(x+8)=6x+22

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Solution for 4(x+8)=6x+22 equation:


Simplifying
4(x + 8) = 6x + 22

Reorder the terms:
4(8 + x) = 6x + 22
(8 * 4 + x * 4) = 6x + 22
(32 + 4x) = 6x + 22

Reorder the terms:
32 + 4x = 22 + 6x

Solving
32 + 4x = 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.
32 + 4x + -6x = 22 + 6x + -6x

Combine like terms: 4x + -6x = -2x
32 + -2x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -2x = 22 + 0
32 + -2x = 22

Add '-32' to each side of the equation.
32 + -32 + -2x = 22 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 22 + -32
-2x = 22 + -32

Combine like terms: 22 + -32 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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