5(x-1)+2(x+4)=8

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Solution for 5(x-1)+2(x+4)=8 equation:


Simplifying
5(x + -1) + 2(x + 4) = 8

Reorder the terms:
5(-1 + x) + 2(x + 4) = 8
(-1 * 5 + x * 5) + 2(x + 4) = 8
(-5 + 5x) + 2(x + 4) = 8

Reorder the terms:
-5 + 5x + 2(4 + x) = 8
-5 + 5x + (4 * 2 + x * 2) = 8
-5 + 5x + (8 + 2x) = 8

Reorder the terms:
-5 + 8 + 5x + 2x = 8

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

Combine like terms: 5x + 2x = 7x
3 + 7x = 8

Solving
3 + 7x = 8

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 8 + -3
7x = 8 + -3

Combine like terms: 8 + -3 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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