7(x+3)-1=5(x+4)+10

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Solution for 7(x+3)-1=5(x+4)+10 equation: 


Simplifying
7(x + 3) + -1 = 5(x + 4) + 10

Reorder the terms:
7(3 + x) + -1 = 5(x + 4) + 10
(3 * 7 + x * 7) + -1 = 5(x + 4) + 10
(21 + 7x) + -1 = 5(x + 4) + 10

Reorder the terms:
21 + -1 + 7x = 5(x + 4) + 10

Combine like terms: 21 + -1 = 20
20 + 7x = 5(x + 4) + 10

Reorder the terms:
20 + 7x = 5(4 + x) + 10
20 + 7x = (4 * 5 + x * 5) + 10
20 + 7x = (20 + 5x) + 10

Reorder the terms:
20 + 7x = 20 + 10 + 5x

Combine like terms: 20 + 10 = 30
20 + 7x = 30 + 5x

Solving
20 + 7x = 30 + 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.
20 + 7x + -5x = 30 + 5x + -5x

Combine like terms: 7x + -5x = 2x
20 + 2x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 2x = 30 + 0
20 + 2x = 30

Add '-20' to each side of the equation.
20 + -20 + 2x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 30 + -20
2x = 30 + -20

Combine like terms: 30 + -20 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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