(4x+71)-4=(7x+20)-4

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Solution for (4x+71)-4=(7x+20)-4 equation:


Simplifying
(4x + 71) + -4 = (7x + 20) + -4

Reorder the terms:
(71 + 4x) + -4 = (7x + 20) + -4

Remove parenthesis around (71 + 4x)
71 + 4x + -4 = (7x + 20) + -4

Reorder the terms:
71 + -4 + 4x = (7x + 20) + -4

Combine like terms: 71 + -4 = 67
67 + 4x = (7x + 20) + -4

Reorder the terms:
67 + 4x = (20 + 7x) + -4

Remove parenthesis around (20 + 7x)
67 + 4x = 20 + 7x + -4

Reorder the terms:
67 + 4x = 20 + -4 + 7x

Combine like terms: 20 + -4 = 16
67 + 4x = 16 + 7x

Solving
67 + 4x = 16 + 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.
67 + 4x + -7x = 16 + 7x + -7x

Combine like terms: 4x + -7x = -3x
67 + -3x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
67 + -3x = 16 + 0
67 + -3x = 16

Add '-67' to each side of the equation.
67 + -67 + -3x = 16 + -67

Combine like terms: 67 + -67 = 0
0 + -3x = 16 + -67
-3x = 16 + -67

Combine like terms: 16 + -67 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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