2(x+2x-3)=(x+1+6-7)

Solution for 2(x+2x-3)=(x+1+6-7) equation:

Simplifying
2(x + 2x + -3) = (x + 1 + 6 + -7)

Reorder the terms:
2(-3 + x + 2x) = (x + 1 + 6 + -7)

Combine like terms: x + 2x = 3x
2(-3 + 3x) = (x + 1 + 6 + -7)
(-3 * 2 + 3x * 2) = (x + 1 + 6 + -7)
(-6 + 6x) = (x + 1 + 6 + -7)

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

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

Combine like terms: 7 + -7 = 0
-6 + 6x = (0 + x)
-6 + 6x = (x)
-6 + 6x = x

Solving
-6 + 6x = 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.
-6 + 6x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
-6 + 5x = 0

Add '6' to each side of the equation.
-6 + 6 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2