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

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


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

Reorder the terms:
5(2 + x) = 7(x + 1) + 1
(2 * 5 + x * 5) = 7(x + 1) + 1
(10 + 5x) = 7(x + 1) + 1

Reorder the terms:
10 + 5x = 7(1 + x) + 1
10 + 5x = (1 * 7 + x * 7) + 1
10 + 5x = (7 + 7x) + 1

Reorder the terms:
10 + 5x = 7 + 1 + 7x

Combine like terms: 7 + 1 = 8
10 + 5x = 8 + 7x

Solving
10 + 5x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 5x + -7x = 8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
10 + -2x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = 8 + 0
10 + -2x = 8

Add '-10' to each side of the equation.
10 + -10 + -2x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 8 + -10
-2x = 8 + -10

Combine like terms: 8 + -10 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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