2(x-1)+3(x+2)+3=27

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Solution for 2(x-1)+3(x+2)+3=27 equation:


Simplifying
2(x + -1) + 3(x + 2) + 3 = 27

Reorder the terms:
2(-1 + x) + 3(x + 2) + 3 = 27
(-1 * 2 + x * 2) + 3(x + 2) + 3 = 27
(-2 + 2x) + 3(x + 2) + 3 = 27

Reorder the terms:
-2 + 2x + 3(2 + x) + 3 = 27
-2 + 2x + (2 * 3 + x * 3) + 3 = 27
-2 + 2x + (6 + 3x) + 3 = 27

Reorder the terms:
-2 + 6 + 3 + 2x + 3x = 27

Combine like terms: -2 + 6 = 4
4 + 3 + 2x + 3x = 27

Combine like terms: 4 + 3 = 7
7 + 2x + 3x = 27

Combine like terms: 2x + 3x = 5x
7 + 5x = 27

Solving
7 + 5x = 27

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 27 + -7
5x = 27 + -7

Combine like terms: 27 + -7 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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