(5x-3)+(4x-2)=(10x-20)

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Solution for (5x-3)+(4x-2)=(10x-20) equation:


Simplifying
(5x + -3) + (4x + -2) = (10x + -20)

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

Remove parenthesis around (-3 + 5x)
-3 + 5x + (4x + -2) = (10x + -20)

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

Remove parenthesis around (-2 + 4x)
-3 + 5x + -2 + 4x = (10x + -20)

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

Combine like terms: -3 + -2 = -5
-5 + 5x + 4x = (10x + -20)

Combine like terms: 5x + 4x = 9x
-5 + 9x = (10x + -20)

Reorder the terms:
-5 + 9x = (-20 + 10x)

Remove parenthesis around (-20 + 10x)
-5 + 9x = -20 + 10x

Solving
-5 + 9x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 9x + -10x = -20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-5 + -1x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -1x = -20 + 0
-5 + -1x = -20

Add '5' to each side of the equation.
-5 + 5 + -1x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -20 + 5
-1x = -20 + 5

Combine like terms: -20 + 5 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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