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

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


Simplifying
4(x + 5) + 8 = 3x + -5

Reorder the terms:
4(5 + x) + 8 = 3x + -5
(5 * 4 + x * 4) + 8 = 3x + -5
(20 + 4x) + 8 = 3x + -5

Reorder the terms:
20 + 8 + 4x = 3x + -5

Combine like terms: 20 + 8 = 28
28 + 4x = 3x + -5

Reorder the terms:
28 + 4x = -5 + 3x

Solving
28 + 4x = -5 + 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 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
28 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 1x = -5 + 0
28 + 1x = -5

Add '-28' to each side of the equation.
28 + -28 + 1x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = -5 + -28
1x = -5 + -28

Combine like terms: -5 + -28 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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