3(-3x+4)+2x=9-4(x+1)

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Solution for 3(-3x+4)+2x=9-4(x+1) equation:


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

Reorder the terms:
3(4 + -3x) + 2x = 9 + -4(x + 1)
(4 * 3 + -3x * 3) + 2x = 9 + -4(x + 1)
(12 + -9x) + 2x = 9 + -4(x + 1)

Combine like terms: -9x + 2x = -7x
12 + -7x = 9 + -4(x + 1)

Reorder the terms:
12 + -7x = 9 + -4(1 + x)
12 + -7x = 9 + (1 * -4 + x * -4)
12 + -7x = 9 + (-4 + -4x)

Combine like terms: 9 + -4 = 5
12 + -7x = 5 + -4x

Solving
12 + -7x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + -7x + 4x = 5 + -4x + 4x

Combine like terms: -7x + 4x = -3x
12 + -3x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + -3x = 5 + 0
12 + -3x = 5

Add '-12' to each side of the equation.
12 + -12 + -3x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 5 + -12
-3x = 5 + -12

Combine like terms: 5 + -12 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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