5(6x-36)=4-3(x+3)

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Solution for 5(6x-36)=4-3(x+3) equation:


Simplifying
5(6x + -36) = 4 + -3(x + 3)

Reorder the terms:
5(-36 + 6x) = 4 + -3(x + 3)
(-36 * 5 + 6x * 5) = 4 + -3(x + 3)
(-180 + 30x) = 4 + -3(x + 3)

Reorder the terms:
-180 + 30x = 4 + -3(3 + x)
-180 + 30x = 4 + (3 * -3 + x * -3)
-180 + 30x = 4 + (-9 + -3x)

Combine like terms: 4 + -9 = -5
-180 + 30x = -5 + -3x

Solving
-180 + 30x = -5 + -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.
-180 + 30x + 3x = -5 + -3x + 3x

Combine like terms: 30x + 3x = 33x
-180 + 33x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-180 + 33x = -5 + 0
-180 + 33x = -5

Add '180' to each side of the equation.
-180 + 180 + 33x = -5 + 180

Combine like terms: -180 + 180 = 0
0 + 33x = -5 + 180
33x = -5 + 180

Combine like terms: -5 + 180 = 175
33x = 175

Divide each side by '33'.
x = 5.303030303

Simplifying
x = 5.303030303

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