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

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


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

Reorder the terms:
2(-4 + x) + -3 = 17 + -2x
(-4 * 2 + x * 2) + -3 = 17 + -2x
(-8 + 2x) + -3 = 17 + -2x

Reorder the terms:
-8 + -3 + 2x = 17 + -2x

Combine like terms: -8 + -3 = -11
-11 + 2x = 17 + -2x

Solving
-11 + 2x = 17 + -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.
-11 + 2x + 2x = 17 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-11 + 4x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 4x = 17 + 0
-11 + 4x = 17

Add '11' to each side of the equation.
-11 + 11 + 4x = 17 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 17 + 11
4x = 17 + 11

Combine like terms: 17 + 11 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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