4x-(5x-3)=8x-39

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Solution for 4x-(5x-3)=8x-39 equation:


Simplifying
4x + -1(5x + -3) = 8x + -39

Reorder the terms:
4x + -1(-3 + 5x) = 8x + -39
4x + (-3 * -1 + 5x * -1) = 8x + -39
4x + (3 + -5x) = 8x + -39

Reorder the terms:
3 + 4x + -5x = 8x + -39

Combine like terms: 4x + -5x = -1x
3 + -1x = 8x + -39

Reorder the terms:
3 + -1x = -39 + 8x

Solving
3 + -1x = -39 + 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 + -1x + -8x = -39 + 8x + -8x

Combine like terms: -1x + -8x = -9x
3 + -9x = -39 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -9x = -39 + 0
3 + -9x = -39

Add '-3' to each side of the equation.
3 + -3 + -9x = -39 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -39 + -3
-9x = -39 + -3

Combine like terms: -39 + -3 = -42
-9x = -42

Divide each side by '-9'.
x = 4.666666667

Simplifying
x = 4.666666667

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