24(x+6)=22(x+7)

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Solution for 24(x+6)=22(x+7) equation:


Simplifying
24(x + 6) = 22(x + 7)

Reorder the terms:
24(6 + x) = 22(x + 7)
(6 * 24 + x * 24) = 22(x + 7)
(144 + 24x) = 22(x + 7)

Reorder the terms:
144 + 24x = 22(7 + x)
144 + 24x = (7 * 22 + x * 22)
144 + 24x = (154 + 22x)

Solving
144 + 24x = 154 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
144 + 24x + -22x = 154 + 22x + -22x

Combine like terms: 24x + -22x = 2x
144 + 2x = 154 + 22x + -22x

Combine like terms: 22x + -22x = 0
144 + 2x = 154 + 0
144 + 2x = 154

Add '-144' to each side of the equation.
144 + -144 + 2x = 154 + -144

Combine like terms: 144 + -144 = 0
0 + 2x = 154 + -144
2x = 154 + -144

Combine like terms: 154 + -144 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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