3x+(5x-10)=6x+(4x-20)

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Solution for 3x+(5x-10)=6x+(4x-20) equation:


Simplifying
3x + (5x + -10) = 6x + (4x + -20)

Reorder the terms:
3x + (-10 + 5x) = 6x + (4x + -20)

Remove parenthesis around (-10 + 5x)
3x + -10 + 5x = 6x + (4x + -20)

Reorder the terms:
-10 + 3x + 5x = 6x + (4x + -20)

Combine like terms: 3x + 5x = 8x
-10 + 8x = 6x + (4x + -20)

Reorder the terms:
-10 + 8x = 6x + (-20 + 4x)

Remove parenthesis around (-20 + 4x)
-10 + 8x = 6x + -20 + 4x

Reorder the terms:
-10 + 8x = -20 + 6x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 8x = -20 + 10x

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

Combine like terms: 8x + -10x = -2x
-10 + -2x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + -2x = -20 + 0
-10 + -2x = -20

Add '10' to each side of the equation.
-10 + 10 + -2x = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -20 + 10
-2x = -20 + 10

Combine like terms: -20 + 10 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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