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

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


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

Reorder the terms:
3(2 + x) = 4(x + -1) + 3(x + 4)
(2 * 3 + x * 3) = 4(x + -1) + 3(x + 4)
(6 + 3x) = 4(x + -1) + 3(x + 4)

Reorder the terms:
6 + 3x = 4(-1 + x) + 3(x + 4)
6 + 3x = (-1 * 4 + x * 4) + 3(x + 4)
6 + 3x = (-4 + 4x) + 3(x + 4)

Reorder the terms:
6 + 3x = -4 + 4x + 3(4 + x)
6 + 3x = -4 + 4x + (4 * 3 + x * 3)
6 + 3x = -4 + 4x + (12 + 3x)

Reorder the terms:
6 + 3x = -4 + 12 + 4x + 3x

Combine like terms: -4 + 12 = 8
6 + 3x = 8 + 4x + 3x

Combine like terms: 4x + 3x = 7x
6 + 3x = 8 + 7x

Solving
6 + 3x = 8 + 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.
6 + 3x + -7x = 8 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = 8 + 0
6 + -4x = 8

Add '-6' to each side of the equation.
6 + -6 + -4x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 8 + -6
-4x = 8 + -6

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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