16-47=4(x-3)-7

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Solution for 16-47=4(x-3)-7 equation:


Simplifying
16 + -47 = 4(x + -3) + -7

Combine like terms: 16 + -47 = -31
-31 = 4(x + -3) + -7

Reorder the terms:
-31 = 4(-3 + x) + -7
-31 = (-3 * 4 + x * 4) + -7
-31 = (-12 + 4x) + -7

Reorder the terms:
-31 = -12 + -7 + 4x

Combine like terms: -12 + -7 = -19
-31 = -19 + 4x

Solving
-31 = -19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-31 + -4x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-31 + -4x = -19 + 0
-31 + -4x = -19

Add '31' to each side of the equation.
-31 + 31 + -4x = -19 + 31

Combine like terms: -31 + 31 = 0
0 + -4x = -19 + 31
-4x = -19 + 31

Combine like terms: -19 + 31 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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