6x-22=4(x-7)

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Solution for 6x-22=4(x-7) equation:


Simplifying
6x + -22 = 4(x + -7)

Reorder the terms:
-22 + 6x = 4(x + -7)

Reorder the terms:
-22 + 6x = 4(-7 + x)
-22 + 6x = (-7 * 4 + x * 4)
-22 + 6x = (-28 + 4x)

Solving
-22 + 6x = -28 + 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.
-22 + 6x + -4x = -28 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-22 + 2x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + 2x = -28 + 0
-22 + 2x = -28

Add '22' to each side of the equation.
-22 + 22 + 2x = -28 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -28 + 22
2x = -28 + 22

Combine like terms: -28 + 22 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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