5(x-2)=4(2x+15)

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Solution for 5(x-2)=4(2x+15) equation:


Simplifying
5(x + -2) = 4(2x + 15)

Reorder the terms:
5(-2 + x) = 4(2x + 15)
(-2 * 5 + x * 5) = 4(2x + 15)
(-10 + 5x) = 4(2x + 15)

Reorder the terms:
-10 + 5x = 4(15 + 2x)
-10 + 5x = (15 * 4 + 2x * 4)
-10 + 5x = (60 + 8x)

Solving
-10 + 5x = 60 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 5x + -8x = 60 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-10 + -3x = 60 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -3x = 60 + 0
-10 + -3x = 60

Add '10' to each side of the equation.
-10 + 10 + -3x = 60 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 60 + 10
-3x = 60 + 10

Combine like terms: 60 + 10 = 70
-3x = 70

Divide each side by '-3'.
x = -23.33333333

Simplifying
x = -23.33333333

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