4x+(x+3)=12+8(x-7)

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Solution for 4x+(x+3)=12+8(x-7) equation:


Simplifying
4x + (x + 3) = 12 + 8(x + -7)

Reorder the terms:
4x + (3 + x) = 12 + 8(x + -7)

Remove parenthesis around (3 + x)
4x + 3 + x = 12 + 8(x + -7)

Reorder the terms:
3 + 4x + x = 12 + 8(x + -7)

Combine like terms: 4x + x = 5x
3 + 5x = 12 + 8(x + -7)

Reorder the terms:
3 + 5x = 12 + 8(-7 + x)
3 + 5x = 12 + (-7 * 8 + x * 8)
3 + 5x = 12 + (-56 + 8x)

Combine like terms: 12 + -56 = -44
3 + 5x = -44 + 8x

Solving
3 + 5x = -44 + 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.
3 + 5x + -8x = -44 + 8x + -8x

Combine like terms: 5x + -8x = -3x
3 + -3x = -44 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -3x = -44 + 0
3 + -3x = -44

Add '-3' to each side of the equation.
3 + -3 + -3x = -44 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -44 + -3
-3x = -44 + -3

Combine like terms: -44 + -3 = -47
-3x = -47

Divide each side by '-3'.
x = 15.66666667

Simplifying
x = 15.66666667

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