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

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


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

Reorder the terms:
-3(2 + x) + 8(x + -3) = 7
(2 * -3 + x * -3) + 8(x + -3) = 7
(-6 + -3x) + 8(x + -3) = 7

Reorder the terms:
-6 + -3x + 8(-3 + x) = 7
-6 + -3x + (-3 * 8 + x * 8) = 7
-6 + -3x + (-24 + 8x) = 7

Reorder the terms:
-6 + -24 + -3x + 8x = 7

Combine like terms: -6 + -24 = -30
-30 + -3x + 8x = 7

Combine like terms: -3x + 8x = 5x
-30 + 5x = 7

Solving
-30 + 5x = 7

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 5x = 7 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = 7 + 30
5x = 7 + 30

Combine like terms: 7 + 30 = 37
5x = 37

Divide each side by '5'.
x = 7.4

Simplifying
x = 7.4

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