6x-[2x+3(x+10)]=x+20

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Solution for 6x-[2x+3(x+10)]=x+20 equation:


Simplifying
6x + -1[2x + 3(x + 10)] = x + 20

Reorder the terms:
6x + -1[2x + 3(10 + x)] = x + 20
6x + -1[2x + (10 * 3 + x * 3)] = x + 20
6x + -1[2x + (30 + 3x)] = x + 20

Reorder the terms:
6x + -1[30 + 2x + 3x] = x + 20

Combine like terms: 2x + 3x = 5x
6x + -1[30 + 5x] = x + 20
6x + [30 * -1 + 5x * -1] = x + 20
6x + [-30 + -5x] = x + 20

Reorder the terms:
-30 + 6x + -5x = x + 20

Combine like terms: 6x + -5x = 1x
-30 + 1x = x + 20

Reorder the terms:
-30 + 1x = 20 + x

Solving
-30 + 1x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 1x + -1x = 20 + x + -1x

Combine like terms: 1x + -1x = 0
-30 + 0 = 20 + x + -1x
-30 = 20 + x + -1x

Combine like terms: x + -1x = 0
-30 = 20 + 0
-30 = 20

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

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

Combine like terms: 20 + 30 = 50
0 = 50

Simplifying
0 = 50

Combine like terms: 0 + -50 = -50
-50 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 = 0

The solution to this equation could not be determined.

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