5(3x-6)+6-4(2x-3)=24

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Solution for 5(3x-6)+6-4(2x-3)=24 equation:


Simplifying
5(3x + -6) + 6 + -4(2x + -3) = 24

Reorder the terms:
5(-6 + 3x) + 6 + -4(2x + -3) = 24
(-6 * 5 + 3x * 5) + 6 + -4(2x + -3) = 24
(-30 + 15x) + 6 + -4(2x + -3) = 24

Reorder the terms:
-30 + 15x + 6 + -4(-3 + 2x) = 24
-30 + 15x + 6 + (-3 * -4 + 2x * -4) = 24
-30 + 15x + 6 + (12 + -8x) = 24

Reorder the terms:
-30 + 6 + 12 + 15x + -8x = 24

Combine like terms: -30 + 6 = -24
-24 + 12 + 15x + -8x = 24

Combine like terms: -24 + 12 = -12
-12 + 15x + -8x = 24

Combine like terms: 15x + -8x = 7x
-12 + 7x = 24

Solving
-12 + 7x = 24

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 7x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 24 + 12
7x = 24 + 12

Combine like terms: 24 + 12 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143

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