4(x-4)+3=-5x+13

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Solution for 4(x-4)+3=-5x+13 equation:


Simplifying
4(x + -4) + 3 = -5x + 13

Reorder the terms:
4(-4 + x) + 3 = -5x + 13
(-4 * 4 + x * 4) + 3 = -5x + 13
(-16 + 4x) + 3 = -5x + 13

Reorder the terms:
-16 + 3 + 4x = -5x + 13

Combine like terms: -16 + 3 = -13
-13 + 4x = -5x + 13

Reorder the terms:
-13 + 4x = 13 + -5x

Solving
-13 + 4x = 13 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
-13 + 4x + 5x = 13 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-13 + 9x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 9x = 13 + 0
-13 + 9x = 13

Add '13' to each side of the equation.
-13 + 13 + 9x = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 9x = 13 + 13
9x = 13 + 13

Combine like terms: 13 + 13 = 26
9x = 26

Divide each side by '9'.
x = 2.888888889

Simplifying
x = 2.888888889

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