4x-7=5(22-x)

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Solution for 4x-7=5(22-x) equation:


Simplifying
4x + -7 = 5(22 + -1x)

Reorder the terms:
-7 + 4x = 5(22 + -1x)
-7 + 4x = (22 * 5 + -1x * 5)
-7 + 4x = (110 + -5x)

Solving
-7 + 4x = 110 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-7 + 4x + 5x = 110 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-7 + 9x = 110 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 9x = 110 + 0
-7 + 9x = 110

Add '7' to each side of the equation.
-7 + 7 + 9x = 110 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 110 + 7
9x = 110 + 7

Combine like terms: 110 + 7 = 117
9x = 117

Divide each side by '9'.
x = 13

Simplifying
x = 13

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