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

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


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

Reorder the terms:
5 + -9(-4 + 3x) = 7(x + 2)
5 + (-4 * -9 + 3x * -9) = 7(x + 2)
5 + (36 + -27x) = 7(x + 2)

Combine like terms: 5 + 36 = 41
41 + -27x = 7(x + 2)

Reorder the terms:
41 + -27x = 7(2 + x)
41 + -27x = (2 * 7 + x * 7)
41 + -27x = (14 + 7x)

Solving
41 + -27x = 14 + 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.
41 + -27x + -7x = 14 + 7x + -7x

Combine like terms: -27x + -7x = -34x
41 + -34x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
41 + -34x = 14 + 0
41 + -34x = 14

Add '-41' to each side of the equation.
41 + -41 + -34x = 14 + -41

Combine like terms: 41 + -41 = 0
0 + -34x = 14 + -41
-34x = 14 + -41

Combine like terms: 14 + -41 = -27
-34x = -27

Divide each side by '-34'.
x = 0.7941176471

Simplifying
x = 0.7941176471

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