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

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


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

Reorder the terms:
4(-2 + x) + 3(x + 2) = 9x + 5
(-2 * 4 + x * 4) + 3(x + 2) = 9x + 5
(-8 + 4x) + 3(x + 2) = 9x + 5

Reorder the terms:
-8 + 4x + 3(2 + x) = 9x + 5
-8 + 4x + (2 * 3 + x * 3) = 9x + 5
-8 + 4x + (6 + 3x) = 9x + 5

Reorder the terms:
-8 + 6 + 4x + 3x = 9x + 5

Combine like terms: -8 + 6 = -2
-2 + 4x + 3x = 9x + 5

Combine like terms: 4x + 3x = 7x
-2 + 7x = 9x + 5

Reorder the terms:
-2 + 7x = 5 + 9x

Solving
-2 + 7x = 5 + 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.
-2 + 7x + -9x = 5 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-2 + -2x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -2x = 5 + 0
-2 + -2x = 5

Add '2' to each side of the equation.
-2 + 2 + -2x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 5 + 2
-2x = 5 + 2

Combine like terms: 5 + 2 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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