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

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Solution for 2(x+1)+3(x-4)=5 equation: 


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

Reorder the terms:
2(1 + x) + 3(x + -4) = 5
(1 * 2 + x * 2) + 3(x + -4) = 5
(2 + 2x) + 3(x + -4) = 5

Reorder the terms:
2 + 2x + 3(-4 + x) = 5
2 + 2x + (-4 * 3 + x * 3) = 5
2 + 2x + (-12 + 3x) = 5

Reorder the terms:
2 + -12 + 2x + 3x = 5

Combine like terms: 2 + -12 = -10
-10 + 2x + 3x = 5

Combine like terms: 2x + 3x = 5x
-10 + 5x = 5

Solving
-10 + 5x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 5 + 10
5x = 5 + 10

Combine like terms: 5 + 10 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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