(7x-3)-(3x-13)-74=0

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Solution for (7x-3)-(3x-13)-74=0 equation:


Simplifying
(7x + -3) + -1(3x + -13) + -74 = 0

Reorder the terms:
(-3 + 7x) + -1(3x + -13) + -74 = 0

Remove parenthesis around (-3 + 7x)
-3 + 7x + -1(3x + -13) + -74 = 0

Reorder the terms:
-3 + 7x + -1(-13 + 3x) + -74 = 0
-3 + 7x + (-13 * -1 + 3x * -1) + -74 = 0
-3 + 7x + (13 + -3x) + -74 = 0

Reorder the terms:
-3 + 13 + -74 + 7x + -3x = 0

Combine like terms: -3 + 13 = 10
10 + -74 + 7x + -3x = 0

Combine like terms: 10 + -74 = -64
-64 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x
-64 + 4x = 0

Solving
-64 + 4x = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 4x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4x = 0 + 64
4x = 0 + 64

Combine like terms: 0 + 64 = 64
4x = 64

Divide each side by '4'.
x = 16

Simplifying
x = 16

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