4x+(x+7)=3x-(-17)

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Solution for 4x+(x+7)=3x-(-17) equation:


Simplifying
4x + (x + 7) = 3x + -1(-17)

Reorder the terms:
4x + (7 + x) = 3x + -1(-17)

Remove parenthesis around (7 + x)
4x + 7 + x = 3x + -1(-17)

Reorder the terms:
7 + 4x + x = 3x + -1(-17)

Combine like terms: 4x + x = 5x
7 + 5x = 3x + -1(-17)

Multiply -1 * -17
7 + 5x = 3x + 17

Reorder the terms:
7 + 5x = 17 + 3x

Solving
7 + 5x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 5x + -3x = 17 + 3x + -3x

Combine like terms: 5x + -3x = 2x
7 + 2x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 2x = 17 + 0
7 + 2x = 17

Add '-7' to each side of the equation.
7 + -7 + 2x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 17 + -7
2x = 17 + -7

Combine like terms: 17 + -7 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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