3(x+1)-4(x-2)=1

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Solution for 3(x+1)-4(x-2)=1 equation: 


Simplifying
3(x + 1) + -4(x + -2) = 1

Reorder the terms:
3(1 + x) + -4(x + -2) = 1
(1 * 3 + x * 3) + -4(x + -2) = 1
(3 + 3x) + -4(x + -2) = 1

Reorder the terms:
3 + 3x + -4(-2 + x) = 1
3 + 3x + (-2 * -4 + x * -4) = 1
3 + 3x + (8 + -4x) = 1

Reorder the terms:
3 + 8 + 3x + -4x = 1

Combine like terms: 3 + 8 = 11
11 + 3x + -4x = 1

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

Solving
11 + -1x = 1

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 + -1x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 1 + -11
-1x = 1 + -11

Combine like terms: 1 + -11 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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