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

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


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

Reorder the terms:
8(-3 + x) + -3(x + -1) = 6x + 7 + -5x
(-3 * 8 + x * 8) + -3(x + -1) = 6x + 7 + -5x
(-24 + 8x) + -3(x + -1) = 6x + 7 + -5x

Reorder the terms:
-24 + 8x + -3(-1 + x) = 6x + 7 + -5x
-24 + 8x + (-1 * -3 + x * -3) = 6x + 7 + -5x
-24 + 8x + (3 + -3x) = 6x + 7 + -5x

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

Combine like terms: -24 + 3 = -21
-21 + 8x + -3x = 6x + 7 + -5x

Combine like terms: 8x + -3x = 5x
-21 + 5x = 6x + 7 + -5x

Reorder the terms:
-21 + 5x = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-21 + 5x = 7 + 1x

Solving
-21 + 5x = 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.
-21 + 5x + -1x = 7 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-21 + 4x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + 4x = 7 + 0
-21 + 4x = 7

Add '21' to each side of the equation.
-21 + 21 + 4x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 7 + 21
4x = 7 + 21

Combine like terms: 7 + 21 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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