2(3-x)+4(x-8)=3x+5

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Solution for 2(3-x)+4(x-8)=3x+5 equation:


Simplifying
2(3 + -1x) + 4(x + -8) = 3x + 5
(3 * 2 + -1x * 2) + 4(x + -8) = 3x + 5
(6 + -2x) + 4(x + -8) = 3x + 5

Reorder the terms:
6 + -2x + 4(-8 + x) = 3x + 5
6 + -2x + (-8 * 4 + x * 4) = 3x + 5
6 + -2x + (-32 + 4x) = 3x + 5

Reorder the terms:
6 + -32 + -2x + 4x = 3x + 5

Combine like terms: 6 + -32 = -26
-26 + -2x + 4x = 3x + 5

Combine like terms: -2x + 4x = 2x
-26 + 2x = 3x + 5

Reorder the terms:
-26 + 2x = 5 + 3x

Solving
-26 + 2x = 5 + 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.
-26 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-26 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -1x = 5 + 0
-26 + -1x = 5

Add '26' to each side of the equation.
-26 + 26 + -1x = 5 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 5 + 26
-1x = 5 + 26

Combine like terms: 5 + 26 = 31
-1x = 31

Divide each side by '-1'.
x = -31

Simplifying
x = -31

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