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

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


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

Reorder the terms:
3(3 + 4x) = 3 + -4(x + -1)
(3 * 3 + 4x * 3) = 3 + -4(x + -1)
(9 + 12x) = 3 + -4(x + -1)

Reorder the terms:
9 + 12x = 3 + -4(-1 + x)
9 + 12x = 3 + (-1 * -4 + x * -4)
9 + 12x = 3 + (4 + -4x)

Combine like terms: 3 + 4 = 7
9 + 12x = 7 + -4x

Solving
9 + 12x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + 12x + 4x = 7 + -4x + 4x

Combine like terms: 12x + 4x = 16x
9 + 16x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 16x = 7 + 0
9 + 16x = 7

Add '-9' to each side of the equation.
9 + -9 + 16x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 16x = 7 + -9
16x = 7 + -9

Combine like terms: 7 + -9 = -2
16x = -2

Divide each side by '16'.
x = -0.125

Simplifying
x = -0.125

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