4(3x-5)=5x+2(x+15)

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Solution for 4(3x-5)=5x+2(x+15) equation:


Simplifying
4(3x + -5) = 5x + 2(x + 15)

Reorder the terms:
4(-5 + 3x) = 5x + 2(x + 15)
(-5 * 4 + 3x * 4) = 5x + 2(x + 15)
(-20 + 12x) = 5x + 2(x + 15)

Reorder the terms:
-20 + 12x = 5x + 2(15 + x)
-20 + 12x = 5x + (15 * 2 + x * 2)
-20 + 12x = 5x + (30 + 2x)

Reorder the terms:
-20 + 12x = 30 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-20 + 12x = 30 + 7x

Solving
-20 + 12x = 30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-20 + 12x + -7x = 30 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-20 + 5x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + 5x = 30 + 0
-20 + 5x = 30

Add '20' to each side of the equation.
-20 + 20 + 5x = 30 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 30 + 20
5x = 30 + 20

Combine like terms: 30 + 20 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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