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

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


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

Reorder the terms:
7x + -3(-4 + x) = 9(x + 2)
7x + (-4 * -3 + x * -3) = 9(x + 2)
7x + (12 + -3x) = 9(x + 2)

Reorder the terms:
12 + 7x + -3x = 9(x + 2)

Combine like terms: 7x + -3x = 4x
12 + 4x = 9(x + 2)

Reorder the terms:
12 + 4x = 9(2 + x)
12 + 4x = (2 * 9 + x * 9)
12 + 4x = (18 + 9x)

Solving
12 + 4x = 18 + 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.
12 + 4x + -9x = 18 + 9x + -9x

Combine like terms: 4x + -9x = -5x
12 + -5x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -5x = 18 + 0
12 + -5x = 18

Add '-12' to each side of the equation.
12 + -12 + -5x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 18 + -12
-5x = 18 + -12

Combine like terms: 18 + -12 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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