(10x+40)-(9x+3)=(5x-4)

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Solution for (10x+40)-(9x+3)=(5x-4) equation:


Simplifying
(10x + 40) + -1(9x + 3) = (5x + -4)

Reorder the terms:
(40 + 10x) + -1(9x + 3) = (5x + -4)

Remove parenthesis around (40 + 10x)
40 + 10x + -1(9x + 3) = (5x + -4)

Reorder the terms:
40 + 10x + -1(3 + 9x) = (5x + -4)
40 + 10x + (3 * -1 + 9x * -1) = (5x + -4)
40 + 10x + (-3 + -9x) = (5x + -4)

Reorder the terms:
40 + -3 + 10x + -9x = (5x + -4)

Combine like terms: 40 + -3 = 37
37 + 10x + -9x = (5x + -4)

Combine like terms: 10x + -9x = 1x
37 + 1x = (5x + -4)

Reorder the terms:
37 + 1x = (-4 + 5x)

Remove parenthesis around (-4 + 5x)
37 + 1x = -4 + 5x

Solving
37 + 1x = -4 + 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.
37 + 1x + -5x = -4 + 5x + -5x

Combine like terms: 1x + -5x = -4x
37 + -4x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
37 + -4x = -4 + 0
37 + -4x = -4

Add '-37' to each side of the equation.
37 + -37 + -4x = -4 + -37

Combine like terms: 37 + -37 = 0
0 + -4x = -4 + -37
-4x = -4 + -37

Combine like terms: -4 + -37 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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