9x+5=4(x+2)+7x

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Solution for 9x+5=4(x+2)+7x equation:


Simplifying
9x + 5 = 4(x + 2) + 7x

Reorder the terms:
5 + 9x = 4(x + 2) + 7x

Reorder the terms:
5 + 9x = 4(2 + x) + 7x
5 + 9x = (2 * 4 + x * 4) + 7x
5 + 9x = (8 + 4x) + 7x

Combine like terms: 4x + 7x = 11x
5 + 9x = 8 + 11x

Solving
5 + 9x = 8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
5 + 9x + -11x = 8 + 11x + -11x

Combine like terms: 9x + -11x = -2x
5 + -2x = 8 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -2x = 8 + 0
5 + -2x = 8

Add '-5' to each side of the equation.
5 + -5 + -2x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 8 + -5
-2x = 8 + -5

Combine like terms: 8 + -5 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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