2(x+2)+3(x-1)=8

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Solution for 2(x+2)+3(x-1)=8 equation:


Simplifying
2(x + 2) + 3(x + -1) = 8

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

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

Reorder the terms:
4 + -3 + 2x + 3x = 8

Combine like terms: 4 + -3 = 1
1 + 2x + 3x = 8

Combine like terms: 2x + 3x = 5x
1 + 5x = 8

Solving
1 + 5x = 8

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 8 + -1
5x = 8 + -1

Combine like terms: 8 + -1 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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