7x+4x-2=2(x+1)-9x

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Solution for 7x+4x-2=2(x+1)-9x equation:


Simplifying
7x + 4x + -2 = 2(x + 1) + -9x

Reorder the terms:
-2 + 7x + 4x = 2(x + 1) + -9x

Combine like terms: 7x + 4x = 11x
-2 + 11x = 2(x + 1) + -9x

Reorder the terms:
-2 + 11x = 2(1 + x) + -9x
-2 + 11x = (1 * 2 + x * 2) + -9x
-2 + 11x = (2 + 2x) + -9x

Combine like terms: 2x + -9x = -7x
-2 + 11x = 2 + -7x

Solving
-2 + 11x = 2 + -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.
-2 + 11x + 7x = 2 + -7x + 7x

Combine like terms: 11x + 7x = 18x
-2 + 18x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 18x = 2 + 0
-2 + 18x = 2

Add '2' to each side of the equation.
-2 + 2 + 18x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 18x = 2 + 2
18x = 2 + 2

Combine like terms: 2 + 2 = 4
18x = 4

Divide each side by '18'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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