6(3x-4)=-4x+11

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Solution for 6(3x-4)=-4x+11 equation:


Simplifying
6(3x + -4) = -4x + 11

Reorder the terms:
6(-4 + 3x) = -4x + 11
(-4 * 6 + 3x * 6) = -4x + 11
(-24 + 18x) = -4x + 11

Reorder the terms:
-24 + 18x = 11 + -4x

Solving
-24 + 18x = 11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 18x + 4x = 11 + -4x + 4x

Combine like terms: 18x + 4x = 22x
-24 + 22x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 22x = 11 + 0
-24 + 22x = 11

Add '24' to each side of the equation.
-24 + 24 + 22x = 11 + 24

Combine like terms: -24 + 24 = 0
0 + 22x = 11 + 24
22x = 11 + 24

Combine like terms: 11 + 24 = 35
22x = 35

Divide each side by '22'.
x = 1.590909091

Simplifying
x = 1.590909091

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