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

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


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

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

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

Reorder the terms:
-10 + 7 + 5x + -1x = 17

Combine like terms: -10 + 7 = -3
-3 + 5x + -1x = 17

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

Solving
-3 + 4x = 17

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 17 + 3
4x = 17 + 3

Combine like terms: 17 + 3 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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