10(2x-3)=6(4x-11)

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Solution for 10(2x-3)=6(4x-11) equation:


Simplifying
10(2x + -3) = 6(4x + -11)

Reorder the terms:
10(-3 + 2x) = 6(4x + -11)
(-3 * 10 + 2x * 10) = 6(4x + -11)
(-30 + 20x) = 6(4x + -11)

Reorder the terms:
-30 + 20x = 6(-11 + 4x)
-30 + 20x = (-11 * 6 + 4x * 6)
-30 + 20x = (-66 + 24x)

Solving
-30 + 20x = -66 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-30 + 20x + -24x = -66 + 24x + -24x

Combine like terms: 20x + -24x = -4x
-30 + -4x = -66 + 24x + -24x

Combine like terms: 24x + -24x = 0
-30 + -4x = -66 + 0
-30 + -4x = -66

Add '30' to each side of the equation.
-30 + 30 + -4x = -66 + 30

Combine like terms: -30 + 30 = 0
0 + -4x = -66 + 30
-4x = -66 + 30

Combine like terms: -66 + 30 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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