5(x-13)-4(x+9)=24-2(x-18)

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Solution for 5(x-13)-4(x+9)=24-2(x-18) equation:


Simplifying
5(x + -13) + -4(x + 9) = 24 + -2(x + -18)

Reorder the terms:
5(-13 + x) + -4(x + 9) = 24 + -2(x + -18)
(-13 * 5 + x * 5) + -4(x + 9) = 24 + -2(x + -18)
(-65 + 5x) + -4(x + 9) = 24 + -2(x + -18)

Reorder the terms:
-65 + 5x + -4(9 + x) = 24 + -2(x + -18)
-65 + 5x + (9 * -4 + x * -4) = 24 + -2(x + -18)
-65 + 5x + (-36 + -4x) = 24 + -2(x + -18)

Reorder the terms:
-65 + -36 + 5x + -4x = 24 + -2(x + -18)

Combine like terms: -65 + -36 = -101
-101 + 5x + -4x = 24 + -2(x + -18)

Combine like terms: 5x + -4x = 1x
-101 + 1x = 24 + -2(x + -18)

Reorder the terms:
-101 + 1x = 24 + -2(-18 + x)
-101 + 1x = 24 + (-18 * -2 + x * -2)
-101 + 1x = 24 + (36 + -2x)

Combine like terms: 24 + 36 = 60
-101 + 1x = 60 + -2x

Solving
-101 + 1x = 60 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-101 + 1x + 2x = 60 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-101 + 3x = 60 + -2x + 2x

Combine like terms: -2x + 2x = 0
-101 + 3x = 60 + 0
-101 + 3x = 60

Add '101' to each side of the equation.
-101 + 101 + 3x = 60 + 101

Combine like terms: -101 + 101 = 0
0 + 3x = 60 + 101
3x = 60 + 101

Combine like terms: 60 + 101 = 161
3x = 161

Divide each side by '3'.
x = 53.66666667

Simplifying
x = 53.66666667

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