5x+8=3+4(2x-5)

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Solution for 5x+8=3+4(2x-5) equation:


Simplifying
5x + 8 = 3 + 4(2x + -5)

Reorder the terms:
8 + 5x = 3 + 4(2x + -5)

Reorder the terms:
8 + 5x = 3 + 4(-5 + 2x)
8 + 5x = 3 + (-5 * 4 + 2x * 4)
8 + 5x = 3 + (-20 + 8x)

Combine like terms: 3 + -20 = -17
8 + 5x = -17 + 8x

Solving
8 + 5x = -17 + 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.
8 + 5x + -8x = -17 + 8x + -8x

Combine like terms: 5x + -8x = -3x
8 + -3x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -3x = -17 + 0
8 + -3x = -17

Add '-8' to each side of the equation.
8 + -8 + -3x = -17 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -17 + -8
-3x = -17 + -8

Combine like terms: -17 + -8 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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