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

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


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

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

Reorder the terms:
2 + 2x + 3(-2 + x) = x + 3
2 + 2x + (-2 * 3 + x * 3) = x + 3
2 + 2x + (-6 + 3x) = x + 3

Reorder the terms:
2 + -6 + 2x + 3x = x + 3

Combine like terms: 2 + -6 = -4
-4 + 2x + 3x = x + 3

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

Reorder the terms:
-4 + 5x = 3 + x

Solving
-4 + 5x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 5x + -1x = 3 + x + -1x

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

Combine like terms: x + -1x = 0
-4 + 4x = 3 + 0
-4 + 4x = 3

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

Combine like terms: -4 + 4 = 0
0 + 4x = 3 + 4
4x = 3 + 4

Combine like terms: 3 + 4 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

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