7(x+1)=5(x+4)

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Solution for 7(x+1)=5(x+4) equation:


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

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

Reorder the terms:
7 + 7x = 5(4 + x)
7 + 7x = (4 * 5 + x * 5)
7 + 7x = (20 + 5x)

Solving
7 + 7x = 20 + 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 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
7 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 2x = 20 + 0
7 + 2x = 20

Add '-7' to each side of the equation.
7 + -7 + 2x = 20 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 20 + -7
2x = 20 + -7

Combine like terms: 20 + -7 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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