(3x+13)+74=7x+3

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


Simplifying
(3x + 13) + 74 = 7x + 3

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

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

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

Combine like terms: 13 + 74 = 87
87 + 3x = 7x + 3

Reorder the terms:
87 + 3x = 3 + 7x

Solving
87 + 3x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
87 + 3x + -7x = 3 + 7x + -7x

Combine like terms: 3x + -7x = -4x
87 + -4x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
87 + -4x = 3 + 0
87 + -4x = 3

Add '-87' to each side of the equation.
87 + -87 + -4x = 3 + -87

Combine like terms: 87 + -87 = 0
0 + -4x = 3 + -87
-4x = 3 + -87

Combine like terms: 3 + -87 = -84
-4x = -84

Divide each side by '-4'.
x = 21

Simplifying
x = 21

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