7(x-2)+8=5(x+3)+1

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Solution for 7(x-2)+8=5(x+3)+1 equation:


Simplifying
7(x + -2) + 8 = 5(x + 3) + 1

Reorder the terms:
7(-2 + x) + 8 = 5(x + 3) + 1
(-2 * 7 + x * 7) + 8 = 5(x + 3) + 1
(-14 + 7x) + 8 = 5(x + 3) + 1

Reorder the terms:
-14 + 8 + 7x = 5(x + 3) + 1

Combine like terms: -14 + 8 = -6
-6 + 7x = 5(x + 3) + 1

Reorder the terms:
-6 + 7x = 5(3 + x) + 1
-6 + 7x = (3 * 5 + x * 5) + 1
-6 + 7x = (15 + 5x) + 1

Reorder the terms:
-6 + 7x = 15 + 1 + 5x

Combine like terms: 15 + 1 = 16
-6 + 7x = 16 + 5x

Solving
-6 + 7x = 16 + 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.
-6 + 7x + -5x = 16 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-6 + 2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 2x = 16 + 0
-6 + 2x = 16

Add '6' to each side of the equation.
-6 + 6 + 2x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 16 + 6
2x = 16 + 6

Combine like terms: 16 + 6 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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