4(2x-5)=(3x+10)

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Solution for 4(2x-5)=(3x+10) equation:


Simplifying
4(2x + -5) = (3x + 10)

Reorder the terms:
4(-5 + 2x) = (3x + 10)
(-5 * 4 + 2x * 4) = (3x + 10)
(-20 + 8x) = (3x + 10)

Reorder the terms:
-20 + 8x = (10 + 3x)

Remove parenthesis around (10 + 3x)
-20 + 8x = 10 + 3x

Solving
-20 + 8x = 10 + 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 + 8x + -3x = 10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-20 + 5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 5x = 10 + 0
-20 + 5x = 10

Add '20' to each side of the equation.
-20 + 20 + 5x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 10 + 20
5x = 10 + 20

Combine like terms: 10 + 20 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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