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

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


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

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

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

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

Combine like terms: 6 + 4 = 10
10 + 2x + 4x = 3(x + -4)

Combine like terms: 2x + 4x = 6x
10 + 6x = 3(x + -4)

Reorder the terms:
10 + 6x = 3(-4 + x)
10 + 6x = (-4 * 3 + x * 3)
10 + 6x = (-12 + 3x)

Solving
10 + 6x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
10 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 3x = -12 + 0
10 + 3x = -12

Add '-10' to each side of the equation.
10 + -10 + 3x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -12 + -10
3x = -12 + -10

Combine like terms: -12 + -10 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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