4(6x-5)-9x=x-4(x-20)

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Solution for 4(6x-5)-9x=x-4(x-20) equation:


Simplifying
4(6x + -5) + -9x = x + -4(x + -20)

Reorder the terms:
4(-5 + 6x) + -9x = x + -4(x + -20)
(-5 * 4 + 6x * 4) + -9x = x + -4(x + -20)
(-20 + 24x) + -9x = x + -4(x + -20)

Combine like terms: 24x + -9x = 15x
-20 + 15x = x + -4(x + -20)

Reorder the terms:
-20 + 15x = x + -4(-20 + x)
-20 + 15x = x + (-20 * -4 + x * -4)
-20 + 15x = x + (80 + -4x)

Reorder the terms:
-20 + 15x = 80 + x + -4x

Combine like terms: x + -4x = -3x
-20 + 15x = 80 + -3x

Solving
-20 + 15x = 80 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 15x + 3x = 80 + -3x + 3x

Combine like terms: 15x + 3x = 18x
-20 + 18x = 80 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 18x = 80 + 0
-20 + 18x = 80

Add '20' to each side of the equation.
-20 + 20 + 18x = 80 + 20

Combine like terms: -20 + 20 = 0
0 + 18x = 80 + 20
18x = 80 + 20

Combine like terms: 80 + 20 = 100
18x = 100

Divide each side by '18'.
x = 5.555555556

Simplifying
x = 5.555555556

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