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

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


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

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

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

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

Combine like terms: 10 + 1 = 11
-7 + 7x = 11 + 5x

Solving
-7 + 7x = 11 + 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 = 11 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-7 + 2x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 2x = 11 + 0
-7 + 2x = 11

Add '7' to each side of the equation.
-7 + 7 + 2x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 11 + 7
2x = 11 + 7

Combine like terms: 11 + 7 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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