8(x+3)-5(x-2)=49

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Solution for 8(x+3)-5(x-2)=49 equation:


Simplifying
8(x + 3) + -5(x + -2) = 49

Reorder the terms:
8(3 + x) + -5(x + -2) = 49
(3 * 8 + x * 8) + -5(x + -2) = 49
(24 + 8x) + -5(x + -2) = 49

Reorder the terms:
24 + 8x + -5(-2 + x) = 49
24 + 8x + (-2 * -5 + x * -5) = 49
24 + 8x + (10 + -5x) = 49

Reorder the terms:
24 + 10 + 8x + -5x = 49

Combine like terms: 24 + 10 = 34
34 + 8x + -5x = 49

Combine like terms: 8x + -5x = 3x
34 + 3x = 49

Solving
34 + 3x = 49

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 3x = 49 + -34

Combine like terms: 34 + -34 = 0
0 + 3x = 49 + -34
3x = 49 + -34

Combine like terms: 49 + -34 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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