3(x+5)-4(6-2x)=7x+9-(-2x)

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Solution for 3(x+5)-4(6-2x)=7x+9-(-2x) equation:


Simplifying
3(x + 5) + -4(6 + -2x) = 7x + 9 + -1(-2x)

Reorder the terms:
3(5 + x) + -4(6 + -2x) = 7x + 9 + -1(-2x)
(5 * 3 + x * 3) + -4(6 + -2x) = 7x + 9 + -1(-2x)
(15 + 3x) + -4(6 + -2x) = 7x + 9 + -1(-2x)
15 + 3x + (6 * -4 + -2x * -4) = 7x + 9 + -1(-2x)
15 + 3x + (-24 + 8x) = 7x + 9 + -1(-2x)

Reorder the terms:
15 + -24 + 3x + 8x = 7x + 9 + -1(-2x)

Combine like terms: 15 + -24 = -9
-9 + 3x + 8x = 7x + 9 + -1(-2x)

Combine like terms: 3x + 8x = 11x
-9 + 11x = 7x + 9 + -1(-2x)

Remove parenthesis around (-2x)
-9 + 11x = 7x + 9 + -1 * -2x

Multiply -1 * -2
-9 + 11x = 7x + 9 + 2x

Reorder the terms:
-9 + 11x = 9 + 7x + 2x

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

Solving
-9 + 11x = 9 + 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
-9 + 2x = 9 + 0
-9 + 2x = 9

Add '9' to each side of the equation.
-9 + 9 + 2x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 9 + 9
2x = 9 + 9

Combine like terms: 9 + 9 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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