7x+2-(3x-5)=17

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Solution for 7x+2-(3x-5)=17 equation:


Simplifying
7x + 2 + -1(3x + -5) = 17

Reorder the terms:
7x + 2 + -1(-5 + 3x) = 17
7x + 2 + (-5 * -1 + 3x * -1) = 17
7x + 2 + (5 + -3x) = 17

Reorder the terms:
2 + 5 + 7x + -3x = 17

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

Combine like terms: 7x + -3x = 4x
7 + 4x = 17

Solving
7 + 4x = 17

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 17 + -7
4x = 17 + -7

Combine like terms: 17 + -7 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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