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

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


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

Reorder the terms:
2(-3 + 2x) + -5(5 + -1x) = 17 + 3x
(-3 * 2 + 2x * 2) + -5(5 + -1x) = 17 + 3x
(-6 + 4x) + -5(5 + -1x) = 17 + 3x
-6 + 4x + (5 * -5 + -1x * -5) = 17 + 3x
-6 + 4x + (-25 + 5x) = 17 + 3x

Reorder the terms:
-6 + -25 + 4x + 5x = 17 + 3x

Combine like terms: -6 + -25 = -31
-31 + 4x + 5x = 17 + 3x

Combine like terms: 4x + 5x = 9x
-31 + 9x = 17 + 3x

Solving
-31 + 9x = 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.
-31 + 9x + -3x = 17 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-31 + 6x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 6x = 17 + 0
-31 + 6x = 17

Add '31' to each side of the equation.
-31 + 31 + 6x = 17 + 31

Combine like terms: -31 + 31 = 0
0 + 6x = 17 + 31
6x = 17 + 31

Combine like terms: 17 + 31 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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