8+4x+x-3=-3(x-7)

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Solution for 8+4x+x-3=-3(x-7) equation:


Simplifying
8 + 4x + x + -3 = -3(x + -7)

Reorder the terms:
8 + -3 + 4x + x = -3(x + -7)

Combine like terms: 8 + -3 = 5
5 + 4x + x = -3(x + -7)

Combine like terms: 4x + x = 5x
5 + 5x = -3(x + -7)

Reorder the terms:
5 + 5x = -3(-7 + x)
5 + 5x = (-7 * -3 + x * -3)
5 + 5x = (21 + -3x)

Solving
5 + 5x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 5x + 3x = 21 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
5 + 8x = 21 + 0
5 + 8x = 21

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

Combine like terms: 5 + -5 = 0
0 + 8x = 21 + -5
8x = 21 + -5

Combine like terms: 21 + -5 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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