12+7x=4(4x+1)-1

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Solution for 12+7x=4(4x+1)-1 equation:


Simplifying
12 + 7x = 4(4x + 1) + -1

Reorder the terms:
12 + 7x = 4(1 + 4x) + -1
12 + 7x = (1 * 4 + 4x * 4) + -1
12 + 7x = (4 + 16x) + -1

Reorder the terms:
12 + 7x = 4 + -1 + 16x

Combine like terms: 4 + -1 = 3
12 + 7x = 3 + 16x

Solving
12 + 7x = 3 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12 + 7x + -16x = 3 + 16x + -16x

Combine like terms: 7x + -16x = -9x
12 + -9x = 3 + 16x + -16x

Combine like terms: 16x + -16x = 0
12 + -9x = 3 + 0
12 + -9x = 3

Add '-12' to each side of the equation.
12 + -12 + -9x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -9x = 3 + -12
-9x = 3 + -12

Combine like terms: 3 + -12 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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