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

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


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

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

Combine like terms: 22 + -6 = 16
16 + 6x = 7(4x + 7)

Reorder the terms:
16 + 6x = 7(7 + 4x)
16 + 6x = (7 * 7 + 4x * 7)
16 + 6x = (49 + 28x)

Solving
16 + 6x = 49 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
16 + 6x + -28x = 49 + 28x + -28x

Combine like terms: 6x + -28x = -22x
16 + -22x = 49 + 28x + -28x

Combine like terms: 28x + -28x = 0
16 + -22x = 49 + 0
16 + -22x = 49

Add '-16' to each side of the equation.
16 + -16 + -22x = 49 + -16

Combine like terms: 16 + -16 = 0
0 + -22x = 49 + -16
-22x = 49 + -16

Combine like terms: 49 + -16 = 33
-22x = 33

Divide each side by '-22'.
x = -1.5

Simplifying
x = -1.5

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