24(3x+1)=28(x+7)

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Solution for 24(3x+1)=28(x+7) equation:


Simplifying
24(3x + 1) = 28(x + 7)

Reorder the terms:
24(1 + 3x) = 28(x + 7)
(1 * 24 + 3x * 24) = 28(x + 7)
(24 + 72x) = 28(x + 7)

Reorder the terms:
24 + 72x = 28(7 + x)
24 + 72x = (7 * 28 + x * 28)
24 + 72x = (196 + 28x)

Solving
24 + 72x = 196 + 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.
24 + 72x + -28x = 196 + 28x + -28x

Combine like terms: 72x + -28x = 44x
24 + 44x = 196 + 28x + -28x

Combine like terms: 28x + -28x = 0
24 + 44x = 196 + 0
24 + 44x = 196

Add '-24' to each side of the equation.
24 + -24 + 44x = 196 + -24

Combine like terms: 24 + -24 = 0
0 + 44x = 196 + -24
44x = 196 + -24

Combine like terms: 196 + -24 = 172
44x = 172

Divide each side by '44'.
x = 3.909090909

Simplifying
x = 3.909090909

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