4(3x+4)-47=5x-3

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Solution for 4(3x+4)-47=5x-3 equation:


Simplifying
4(3x + 4) + -47 = 5x + -3

Reorder the terms:
4(4 + 3x) + -47 = 5x + -3
(4 * 4 + 3x * 4) + -47 = 5x + -3
(16 + 12x) + -47 = 5x + -3

Reorder the terms:
16 + -47 + 12x = 5x + -3

Combine like terms: 16 + -47 = -31
-31 + 12x = 5x + -3

Reorder the terms:
-31 + 12x = -3 + 5x

Solving
-31 + 12x = -3 + 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.
-31 + 12x + -5x = -3 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-31 + 7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-31 + 7x = -3 + 0
-31 + 7x = -3

Add '31' to each side of the equation.
-31 + 31 + 7x = -3 + 31

Combine like terms: -31 + 31 = 0
0 + 7x = -3 + 31
7x = -3 + 31

Combine like terms: -3 + 31 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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