6(3x-3)=8(4x-11)

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Solution for 6(3x-3)=8(4x-11) equation:


Simplifying
6(3x + -3) = 8(4x + -11)

Reorder the terms:
6(-3 + 3x) = 8(4x + -11)
(-3 * 6 + 3x * 6) = 8(4x + -11)
(-18 + 18x) = 8(4x + -11)

Reorder the terms:
-18 + 18x = 8(-11 + 4x)
-18 + 18x = (-11 * 8 + 4x * 8)
-18 + 18x = (-88 + 32x)

Solving
-18 + 18x = -88 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-18 + 18x + -32x = -88 + 32x + -32x

Combine like terms: 18x + -32x = -14x
-18 + -14x = -88 + 32x + -32x

Combine like terms: 32x + -32x = 0
-18 + -14x = -88 + 0
-18 + -14x = -88

Add '18' to each side of the equation.
-18 + 18 + -14x = -88 + 18

Combine like terms: -18 + 18 = 0
0 + -14x = -88 + 18
-14x = -88 + 18

Combine like terms: -88 + 18 = -70
-14x = -70

Divide each side by '-14'.
x = 5

Simplifying
x = 5

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