7(x+1)-2=4(x+5)

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Solution for 7(x+1)-2=4(x+5) equation:


Simplifying
7(x + 1) + -2 = 4(x + 5)

Reorder the terms:
7(1 + x) + -2 = 4(x + 5)
(1 * 7 + x * 7) + -2 = 4(x + 5)
(7 + 7x) + -2 = 4(x + 5)

Reorder the terms:
7 + -2 + 7x = 4(x + 5)

Combine like terms: 7 + -2 = 5
5 + 7x = 4(x + 5)

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

Solving
5 + 7x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 7x + -4x = 20 + 4x + -4x

Combine like terms: 7x + -4x = 3x
5 + 3x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 3x = 20 + 0
5 + 3x = 20

Add '-5' to each side of the equation.
5 + -5 + 3x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 20 + -5
3x = 20 + -5

Combine like terms: 20 + -5 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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