-3(x-1)+8(x-3)=7

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Solution for -3(x-1)+8(x-3)=7 equation: 


Simplifying
-3(x + -1) + 8(x + -3) = 7

Reorder the terms:
-3(-1 + x) + 8(x + -3) = 7
(-1 * -3 + x * -3) + 8(x + -3) = 7
(3 + -3x) + 8(x + -3) = 7

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

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

Combine like terms: 3 + -24 = -21
-21 + -3x + 8x = 7

Combine like terms: -3x + 8x = 5x
-21 + 5x = 7

Solving
-21 + 5x = 7

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 5x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 5x = 7 + 21
5x = 7 + 21

Combine like terms: 7 + 21 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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