2x+3x-4=x-16+6x+2

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Solution for 2x+3x-4=x-16+6x+2 equation:


Simplifying
2x + 3x + -4 = x + -16 + 6x + 2

Reorder the terms:
-4 + 2x + 3x = x + -16 + 6x + 2

Combine like terms: 2x + 3x = 5x
-4 + 5x = x + -16 + 6x + 2

Reorder the terms:
-4 + 5x = -16 + 2 + x + 6x

Combine like terms: -16 + 2 = -14
-4 + 5x = -14 + x + 6x

Combine like terms: x + 6x = 7x
-4 + 5x = -14 + 7x

Solving
-4 + 5x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 5x + -7x = -14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-4 + -2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -2x = -14 + 0
-4 + -2x = -14

Add '4' to each side of the equation.
-4 + 4 + -2x = -14 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -14 + 4
-2x = -14 + 4

Combine like terms: -14 + 4 = -10
-2x = -10

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

Simplifying
x = 5

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