-3(1-3)+8(x-3)=6x+7-5x

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Solution for -3(1-3)+8(x-3)=6x+7-5x equation:


Simplifying
-3(1 + -3) + 8(x + -3) = 6x + 7 + -5x

Combine like terms: 1 + -3 = -2
-3(-2) + 8(x + -3) = 6x + 7 + -5x

Multiply -3 * -2
6 + 8(x + -3) = 6x + 7 + -5x

Reorder the terms:
6 + 8(-3 + x) = 6x + 7 + -5x
6 + (-3 * 8 + x * 8) = 6x + 7 + -5x
6 + (-24 + 8x) = 6x + 7 + -5x

Combine like terms: 6 + -24 = -18
-18 + 8x = 6x + 7 + -5x

Reorder the terms:
-18 + 8x = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 8x = 7 + 1x

Solving
-18 + 8x = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 8x + -1x = 7 + 1x + -1x

Combine like terms: 8x + -1x = 7x
-18 + 7x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-18 + 7x = 7 + 0
-18 + 7x = 7

Add '18' to each side of the equation.
-18 + 18 + 7x = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 7 + 18
7x = 7 + 18

Combine like terms: 7 + 18 = 25
7x = 25

Divide each side by '7'.
x = 3.571428571

Simplifying
x = 3.571428571

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