7(x+1)-3=2(x+1)+17

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Solution for 7(x+1)-3=2(x+1)+17 equation:


Simplifying
7(x + 1) + -3 = 2(x + 1) + 17

Reorder the terms:
7(1 + x) + -3 = 2(x + 1) + 17
(1 * 7 + x * 7) + -3 = 2(x + 1) + 17
(7 + 7x) + -3 = 2(x + 1) + 17

Reorder the terms:
7 + -3 + 7x = 2(x + 1) + 17

Combine like terms: 7 + -3 = 4
4 + 7x = 2(x + 1) + 17

Reorder the terms:
4 + 7x = 2(1 + x) + 17
4 + 7x = (1 * 2 + x * 2) + 17
4 + 7x = (2 + 2x) + 17

Reorder the terms:
4 + 7x = 2 + 17 + 2x

Combine like terms: 2 + 17 = 19
4 + 7x = 19 + 2x

Solving
4 + 7x = 19 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 7x + -2x = 19 + 2x + -2x

Combine like terms: 7x + -2x = 5x
4 + 5x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 5x = 19 + 0
4 + 5x = 19

Add '-4' to each side of the equation.
4 + -4 + 5x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 19 + -4
5x = 19 + -4

Combine like terms: 19 + -4 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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