4(x-3)-(2x-5)=17

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Solution for 4(x-3)-(2x-5)=17 equation:


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

Reorder the terms:
4(-3 + x) + -1(2x + -5) = 17
(-3 * 4 + x * 4) + -1(2x + -5) = 17
(-12 + 4x) + -1(2x + -5) = 17

Reorder the terms:
-12 + 4x + -1(-5 + 2x) = 17
-12 + 4x + (-5 * -1 + 2x * -1) = 17
-12 + 4x + (5 + -2x) = 17

Reorder the terms:
-12 + 5 + 4x + -2x = 17

Combine like terms: -12 + 5 = -7
-7 + 4x + -2x = 17

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

Solving
-7 + 2x = 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 + 2x = 17 + 7

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

Combine like terms: 17 + 7 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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