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

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


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

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

Combine like terms: 5 + 12 = 17
17 + -3x = 2(5 + -1x) + 3
17 + -3x = (5 * 2 + -1x * 2) + 3
17 + -3x = (10 + -2x) + 3

Reorder the terms:
17 + -3x = 10 + 3 + -2x

Combine like terms: 10 + 3 = 13
17 + -3x = 13 + -2x

Solving
17 + -3x = 13 + -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.
17 + -3x + 2x = 13 + -2x + 2x

Combine like terms: -3x + 2x = -1x
17 + -1x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
17 + -1x = 13 + 0
17 + -1x = 13

Add '-17' to each side of the equation.
17 + -17 + -1x = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 13 + -17
-1x = 13 + -17

Combine like terms: 13 + -17 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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