3(x-1)+6x=7(x+1)

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Solution for 3(x-1)+6x=7(x+1) equation:


Simplifying
3(x + -1) + 6x = 7(x + 1)

Reorder the terms:
3(-1 + x) + 6x = 7(x + 1)
(-1 * 3 + x * 3) + 6x = 7(x + 1)
(-3 + 3x) + 6x = 7(x + 1)

Combine like terms: 3x + 6x = 9x
-3 + 9x = 7(x + 1)

Reorder the terms:
-3 + 9x = 7(1 + x)
-3 + 9x = (1 * 7 + x * 7)
-3 + 9x = (7 + 7x)

Solving
-3 + 9x = 7 + 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.
-3 + 9x + -7x = 7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-3 + 2x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + 2x = 7 + 0
-3 + 2x = 7

Add '3' to each side of the equation.
-3 + 3 + 2x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 7 + 3
2x = 7 + 3

Combine like terms: 7 + 3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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