3(x-5)+7(x+2)=-8

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Solution for 3(x-5)+7(x+2)=-8 equation:


Simplifying
3(x + -5) + 7(x + 2) = -8

Reorder the terms:
3(-5 + x) + 7(x + 2) = -8
(-5 * 3 + x * 3) + 7(x + 2) = -8
(-15 + 3x) + 7(x + 2) = -8

Reorder the terms:
-15 + 3x + 7(2 + x) = -8
-15 + 3x + (2 * 7 + x * 7) = -8
-15 + 3x + (14 + 7x) = -8

Reorder the terms:
-15 + 14 + 3x + 7x = -8

Combine like terms: -15 + 14 = -1
-1 + 3x + 7x = -8

Combine like terms: 3x + 7x = 10x
-1 + 10x = -8

Solving
-1 + 10x = -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 + 10x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = -8 + 1
10x = -8 + 1

Combine like terms: -8 + 1 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7

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