8(x+12)=15x+47

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Solution for 8(x+12)=15x+47 equation:


Simplifying
8(x + 12) = 15x + 47

Reorder the terms:
8(12 + x) = 15x + 47
(12 * 8 + x * 8) = 15x + 47
(96 + 8x) = 15x + 47

Reorder the terms:
96 + 8x = 47 + 15x

Solving
96 + 8x = 47 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
96 + 8x + -15x = 47 + 15x + -15x

Combine like terms: 8x + -15x = -7x
96 + -7x = 47 + 15x + -15x

Combine like terms: 15x + -15x = 0
96 + -7x = 47 + 0
96 + -7x = 47

Add '-96' to each side of the equation.
96 + -96 + -7x = 47 + -96

Combine like terms: 96 + -96 = 0
0 + -7x = 47 + -96
-7x = 47 + -96

Combine like terms: 47 + -96 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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