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

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


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

Reorder the terms:
8x + -3(7 + x) = 8(x + 3)
8x + (7 * -3 + x * -3) = 8(x + 3)
8x + (-21 + -3x) = 8(x + 3)

Reorder the terms:
-21 + 8x + -3x = 8(x + 3)

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

Reorder the terms:
-21 + 5x = 8(3 + x)
-21 + 5x = (3 * 8 + x * 8)
-21 + 5x = (24 + 8x)

Solving
-21 + 5x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + 5x + -8x = 24 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-21 + -3x = 24 + 0
-21 + -3x = 24

Add '21' to each side of the equation.
-21 + 21 + -3x = 24 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = 24 + 21
-3x = 24 + 21

Combine like terms: 24 + 21 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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