3(x-1)+5(x+2)=15

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Solution for 3(x-1)+5(x+2)=15 equation: 


Simplifying
3(x + -1) + 5(x + 2) = 15

Reorder the terms:
3(-1 + x) + 5(x + 2) = 15
(-1 * 3 + x * 3) + 5(x + 2) = 15
(-3 + 3x) + 5(x + 2) = 15

Reorder the terms:
-3 + 3x + 5(2 + x) = 15
-3 + 3x + (2 * 5 + x * 5) = 15
-3 + 3x + (10 + 5x) = 15

Reorder the terms:
-3 + 10 + 3x + 5x = 15

Combine like terms: -3 + 10 = 7
7 + 3x + 5x = 15

Combine like terms: 3x + 5x = 8x
7 + 8x = 15

Solving
7 + 8x = 15

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 + 8x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 15 + -7
8x = 15 + -7

Combine like terms: 15 + -7 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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