3(x-2)+4(3-x)=11

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Solution for 3(x-2)+4(3-x)=11 equation:


Simplifying
3(x + -2) + 4(3 + -1x) = 11

Reorder the terms:
3(-2 + x) + 4(3 + -1x) = 11
(-2 * 3 + x * 3) + 4(3 + -1x) = 11
(-6 + 3x) + 4(3 + -1x) = 11
-6 + 3x + (3 * 4 + -1x * 4) = 11
-6 + 3x + (12 + -4x) = 11

Reorder the terms:
-6 + 12 + 3x + -4x = 11

Combine like terms: -6 + 12 = 6
6 + 3x + -4x = 11

Combine like terms: 3x + -4x = -1x
6 + -1x = 11

Solving
6 + -1x = 11

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 11 + -6
-1x = 11 + -6

Combine like terms: 11 + -6 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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