3(x-2)+x=7x

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Solution for 3(x-2)+x=7x equation:


Simplifying
3(x + -2) + x = 7x

Reorder the terms:
3(-2 + x) + x = 7x
(-2 * 3 + x * 3) + x = 7x
(-6 + 3x) + x = 7x

Combine like terms: 3x + x = 4x
-6 + 4x = 7x

Solving
-6 + 4x = 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.
-6 + 4x + -7x = 7x + -7x

Combine like terms: 4x + -7x = -3x
-6 + -3x = 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -3x = 0

Add '6' to each side of the equation.
-6 + 6 + -3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 0 + 6
-3x = 0 + 6

Combine like terms: 0 + 6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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