3(x-4)=1-(4x-15)

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Solution for 3(x-4)=1-(4x-15) equation:


Simplifying
3(x + -4) = 1 + -1(4x + -15)

Reorder the terms:
3(-4 + x) = 1 + -1(4x + -15)
(-4 * 3 + x * 3) = 1 + -1(4x + -15)
(-12 + 3x) = 1 + -1(4x + -15)

Reorder the terms:
-12 + 3x = 1 + -1(-15 + 4x)
-12 + 3x = 1 + (-15 * -1 + 4x * -1)
-12 + 3x = 1 + (15 + -4x)

Combine like terms: 1 + 15 = 16
-12 + 3x = 16 + -4x

Solving
-12 + 3x = 16 + -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.
-12 + 3x + 4x = 16 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-12 + 7x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 7x = 16 + 0
-12 + 7x = 16

Add '12' to each side of the equation.
-12 + 12 + 7x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 16 + 12
7x = 16 + 12

Combine like terms: 16 + 12 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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