3(x-4)=15-(x+11)

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Solution for 3(x-4)=15-(x+11) equation:


Simplifying
3(x + -4) = 15 + -1(x + 11)

Reorder the terms:
3(-4 + x) = 15 + -1(x + 11)
(-4 * 3 + x * 3) = 15 + -1(x + 11)
(-12 + 3x) = 15 + -1(x + 11)

Reorder the terms:
-12 + 3x = 15 + -1(11 + x)
-12 + 3x = 15 + (11 * -1 + x * -1)
-12 + 3x = 15 + (-11 + -1x)

Combine like terms: 15 + -11 = 4
-12 + 3x = 4 + -1x

Solving
-12 + 3x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 3x + x = 4 + -1x + x

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

Combine like terms: -1x + x = 0
-12 + 4x = 4 + 0
-12 + 4x = 4

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

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

Combine like terms: 4 + 12 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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