7x-(-4x+9)=3(x-11)

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Solution for 7x-(-4x+9)=3(x-11) equation:


Simplifying
7x + -1(-4x + 9) = 3(x + -11)

Reorder the terms:
7x + -1(9 + -4x) = 3(x + -11)
7x + (9 * -1 + -4x * -1) = 3(x + -11)
7x + (-9 + 4x) = 3(x + -11)

Reorder the terms:
-9 + 7x + 4x = 3(x + -11)

Combine like terms: 7x + 4x = 11x
-9 + 11x = 3(x + -11)

Reorder the terms:
-9 + 11x = 3(-11 + x)
-9 + 11x = (-11 * 3 + x * 3)
-9 + 11x = (-33 + 3x)

Solving
-9 + 11x = -33 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 11x + -3x = -33 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-9 + 8x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 8x = -33 + 0
-9 + 8x = -33

Add '9' to each side of the equation.
-9 + 9 + 8x = -33 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = -33 + 9
8x = -33 + 9

Combine like terms: -33 + 9 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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