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

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


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

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

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

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

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

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

Reorder the terms:
-5 + 7x = 2(9 + x)
-5 + 7x = (9 * 2 + x * 2)
-5 + 7x = (18 + 2x)

Solving
-5 + 7x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 7x + -2x = 18 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-5 + 5x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 5x = 18 + 0
-5 + 5x = 18

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

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

Combine like terms: 18 + 5 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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