(x+1)+3(x-4)=5

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Solution for (x+1)+3(x-4)=5 equation:


Simplifying
(x + 1) + 3(x + -4) = 5

Reorder the terms:
(1 + x) + 3(x + -4) = 5

Remove parenthesis around (1 + x)
1 + x + 3(x + -4) = 5

Reorder the terms:
1 + x + 3(-4 + x) = 5
1 + x + (-4 * 3 + x * 3) = 5
1 + x + (-12 + 3x) = 5

Reorder the terms:
1 + -12 + x + 3x = 5

Combine like terms: 1 + -12 = -11
-11 + x + 3x = 5

Combine like terms: x + 3x = 4x
-11 + 4x = 5

Solving
-11 + 4x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 5 + 11
4x = 5 + 11

Combine like terms: 5 + 11 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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