2(x+5)-7=-2(x+1)+17

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Solution for 2(x+5)-7=-2(x+1)+17 equation:


Simplifying
2(x + 5) + -7 = -2(x + 1) + 17

Reorder the terms:
2(5 + x) + -7 = -2(x + 1) + 17
(5 * 2 + x * 2) + -7 = -2(x + 1) + 17
(10 + 2x) + -7 = -2(x + 1) + 17

Reorder the terms:
10 + -7 + 2x = -2(x + 1) + 17

Combine like terms: 10 + -7 = 3
3 + 2x = -2(x + 1) + 17

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

Reorder the terms:
3 + 2x = -2 + 17 + -2x

Combine like terms: -2 + 17 = 15
3 + 2x = 15 + -2x

Solving
3 + 2x = 15 + -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.
3 + 2x + 2x = 15 + -2x + 2x

Combine like terms: 2x + 2x = 4x
3 + 4x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 4x = 15 + 0
3 + 4x = 15

Add '-3' to each side of the equation.
3 + -3 + 4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 15 + -3
4x = 15 + -3

Combine like terms: 15 + -3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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