2x+-6+3(x+5)=3x+x+1

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Solution for 2x+-6+3(x+5)=3x+x+1 equation: 


Simplifying
2x + -6 + 3(x + 5) = 3x + x + 1

Reorder the terms:
2x + -6 + 3(5 + x) = 3x + x + 1
2x + -6 + (5 * 3 + x * 3) = 3x + x + 1
2x + -6 + (15 + 3x) = 3x + x + 1

Reorder the terms:
-6 + 15 + 2x + 3x = 3x + x + 1

Combine like terms: -6 + 15 = 9
9 + 2x + 3x = 3x + x + 1

Combine like terms: 2x + 3x = 5x
9 + 5x = 3x + x + 1

Reorder the terms:
9 + 5x = 1 + 3x + x

Combine like terms: 3x + x = 4x
9 + 5x = 1 + 4x

Solving
9 + 5x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
9 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 1x = 1 + 0
9 + 1x = 1

Add '-9' to each side of the equation.
9 + -9 + 1x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 1 + -9
1x = 1 + -9

Combine like terms: 1 + -9 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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