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

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


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

Reorder the terms:
-3(-1 + x) + 8(x + -3) = 6x + -5x
(-1 * -3 + x * -3) + 8(x + -3) = 6x + -5x
(3 + -3x) + 8(x + -3) = 6x + -5x

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

Reorder the terms:
3 + -24 + -3x + 8x = 6x + -5x

Combine like terms: 3 + -24 = -21
-21 + -3x + 8x = 6x + -5x

Combine like terms: -3x + 8x = 5x
-21 + 5x = 6x + -5x

Combine like terms: 6x + -5x = 1x
-21 + 5x = 1x

Solving
-21 + 5x = 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.
-21 + 5x + -1x = 1x + -1x

Combine like terms: 5x + -1x = 4x
-21 + 4x = 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + 4x = 0

Add '21' to each side of the equation.
-21 + 21 + 4x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 0 + 21
4x = 0 + 21

Combine like terms: 0 + 21 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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