12-47=4(x-2)-7

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Solution for 12-47=4(x-2)-7 equation:


Simplifying
12 + -47 = 4(x + -2) + -7

Combine like terms: 12 + -47 = -35
-35 = 4(x + -2) + -7

Reorder the terms:
-35 = 4(-2 + x) + -7
-35 = (-2 * 4 + x * 4) + -7
-35 = (-8 + 4x) + -7

Reorder the terms:
-35 = -8 + -7 + 4x

Combine like terms: -8 + -7 = -15
-35 = -15 + 4x

Solving
-35 = -15 + 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.
-35 + -4x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-35 + -4x = -15 + 0
-35 + -4x = -15

Add '35' to each side of the equation.
-35 + 35 + -4x = -15 + 35

Combine like terms: -35 + 35 = 0
0 + -4x = -15 + 35
-4x = -15 + 35

Combine like terms: -15 + 35 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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