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

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


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

Reorder the terms:
3 + 4(4 + x) = 3(x + -4)
3 + (4 * 4 + x * 4) = 3(x + -4)
3 + (16 + 4x) = 3(x + -4)

Combine like terms: 3 + 16 = 19
19 + 4x = 3(x + -4)

Reorder the terms:
19 + 4x = 3(-4 + x)
19 + 4x = (-4 * 3 + x * 3)
19 + 4x = (-12 + 3x)

Solving
19 + 4x = -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.
19 + 4x + -3x = -12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
19 + 1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + 1x = -12 + 0
19 + 1x = -12

Add '-19' to each side of the equation.
19 + -19 + 1x = -12 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = -12 + -19
1x = -12 + -19

Combine like terms: -12 + -19 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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