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

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


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

Reorder the terms:
3(-2 + x) + 4(2 + -1x) = x + 5
(-2 * 3 + x * 3) + 4(2 + -1x) = x + 5
(-6 + 3x) + 4(2 + -1x) = x + 5
-6 + 3x + (2 * 4 + -1x * 4) = x + 5
-6 + 3x + (8 + -4x) = x + 5

Reorder the terms:
-6 + 8 + 3x + -4x = x + 5

Combine like terms: -6 + 8 = 2
2 + 3x + -4x = x + 5

Combine like terms: 3x + -4x = -1x
2 + -1x = x + 5

Reorder the terms:
2 + -1x = 5 + x

Solving
2 + -1x = 5 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
2 + -1x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
2 + -2x = 5 + 0
2 + -2x = 5

Add '-2' to each side of the equation.
2 + -2 + -2x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 5 + -2
-2x = 5 + -2

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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