5x+4(x-7)=11-(3x+8)

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Solution for 5x+4(x-7)=11-(3x+8) equation:


Simplifying
5x + 4(x + -7) = 11 + -1(3x + 8)

Reorder the terms:
5x + 4(-7 + x) = 11 + -1(3x + 8)
5x + (-7 * 4 + x * 4) = 11 + -1(3x + 8)
5x + (-28 + 4x) = 11 + -1(3x + 8)

Reorder the terms:
-28 + 5x + 4x = 11 + -1(3x + 8)

Combine like terms: 5x + 4x = 9x
-28 + 9x = 11 + -1(3x + 8)

Reorder the terms:
-28 + 9x = 11 + -1(8 + 3x)
-28 + 9x = 11 + (8 * -1 + 3x * -1)
-28 + 9x = 11 + (-8 + -3x)

Combine like terms: 11 + -8 = 3
-28 + 9x = 3 + -3x

Solving
-28 + 9x = 3 + -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.
-28 + 9x + 3x = 3 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-28 + 12x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 12x = 3 + 0
-28 + 12x = 3

Add '28' to each side of the equation.
-28 + 28 + 12x = 3 + 28

Combine like terms: -28 + 28 = 0
0 + 12x = 3 + 28
12x = 3 + 28

Combine like terms: 3 + 28 = 31
12x = 31

Divide each side by '12'.
x = 2.583333333

Simplifying
x = 2.583333333

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