4(2x-5)-3x=-3x+40-2x

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Solution for 4(2x-5)-3x=-3x+40-2x equation:


Simplifying
4(2x + -5) + -3x = -3x + 40 + -2x

Reorder the terms:
4(-5 + 2x) + -3x = -3x + 40 + -2x
(-5 * 4 + 2x * 4) + -3x = -3x + 40 + -2x
(-20 + 8x) + -3x = -3x + 40 + -2x

Combine like terms: 8x + -3x = 5x
-20 + 5x = -3x + 40 + -2x

Reorder the terms:
-20 + 5x = 40 + -3x + -2x

Combine like terms: -3x + -2x = -5x
-20 + 5x = 40 + -5x

Solving
-20 + 5x = 40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-20 + 5x + 5x = 40 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-20 + 10x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-20 + 10x = 40 + 0
-20 + 10x = 40

Add '20' to each side of the equation.
-20 + 20 + 10x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 40 + 20
10x = 40 + 20

Combine like terms: 40 + 20 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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