3x-28=8(6x+3)-7

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Solution for 3x-28=8(6x+3)-7 equation:


Simplifying
3x + -28 = 8(6x + 3) + -7

Reorder the terms:
-28 + 3x = 8(6x + 3) + -7

Reorder the terms:
-28 + 3x = 8(3 + 6x) + -7
-28 + 3x = (3 * 8 + 6x * 8) + -7
-28 + 3x = (24 + 48x) + -7

Reorder the terms:
-28 + 3x = 24 + -7 + 48x

Combine like terms: 24 + -7 = 17
-28 + 3x = 17 + 48x

Solving
-28 + 3x = 17 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-28 + 3x + -48x = 17 + 48x + -48x

Combine like terms: 3x + -48x = -45x
-28 + -45x = 17 + 48x + -48x

Combine like terms: 48x + -48x = 0
-28 + -45x = 17 + 0
-28 + -45x = 17

Add '28' to each side of the equation.
-28 + 28 + -45x = 17 + 28

Combine like terms: -28 + 28 = 0
0 + -45x = 17 + 28
-45x = 17 + 28

Combine like terms: 17 + 28 = 45
-45x = 45

Divide each side by '-45'.
x = -1

Simplifying
x = -1

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