3*(x-3)-4*(x-5)=6

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Solution for 3*(x-3)-4*(x-5)=6 equation: 


Simplifying
3(x + -3) + -4(x + -5) = 6

Reorder the terms:
3(-3 + x) + -4(x + -5) = 6
(-3 * 3 + x * 3) + -4(x + -5) = 6
(-9 + 3x) + -4(x + -5) = 6

Reorder the terms:
-9 + 3x + -4(-5 + x) = 6
-9 + 3x + (-5 * -4 + x * -4) = 6
-9 + 3x + (20 + -4x) = 6

Reorder the terms:
-9 + 20 + 3x + -4x = 6

Combine like terms: -9 + 20 = 11
11 + 3x + -4x = 6

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

Solving
11 + -1x = 6

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = 5

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