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

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


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

Reorder the terms:
3x + -4(-3 + x) + -9x = 7x + -11
3x + (-3 * -4 + x * -4) + -9x = 7x + -11
3x + (12 + -4x) + -9x = 7x + -11

Reorder the terms:
12 + 3x + -4x + -9x = 7x + -11

Combine like terms: 3x + -4x = -1x
12 + -1x + -9x = 7x + -11

Combine like terms: -1x + -9x = -10x
12 + -10x = 7x + -11

Reorder the terms:
12 + -10x = -11 + 7x

Solving
12 + -10x = -11 + 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.
12 + -10x + -7x = -11 + 7x + -7x

Combine like terms: -10x + -7x = -17x
12 + -17x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -17x = -11 + 0
12 + -17x = -11

Add '-12' to each side of the equation.
12 + -12 + -17x = -11 + -12

Combine like terms: 12 + -12 = 0
0 + -17x = -11 + -12
-17x = -11 + -12

Combine like terms: -11 + -12 = -23
-17x = -23

Divide each side by '-17'.
x = 1.352941176

Simplifying
x = 1.352941176

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