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

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


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

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

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

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

Combine like terms: -4 + 3 = -1
-1 + 2x + 3x = 4x + 1

Combine like terms: 2x + 3x = 5x
-1 + 5x = 4x + 1

Reorder the terms:
-1 + 5x = 1 + 4x

Solving
-1 + 5x = 1 + 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.
-1 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-1 + 1x = 1 + 4x + -4x

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

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

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

Combine like terms: 1 + 1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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