53+x=11x+7(3x+12)

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Solution for 53+x=11x+7(3x+12) equation: 


Simplifying
53 + x = 11x + 7(3x + 12)

Reorder the terms:
53 + x = 11x + 7(12 + 3x)
53 + x = 11x + (12 * 7 + 3x * 7)
53 + x = 11x + (84 + 21x)

Reorder the terms:
53 + x = 84 + 11x + 21x

Combine like terms: 11x + 21x = 32x
53 + x = 84 + 32x

Solving
53 + x = 84 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
53 + x + -32x = 84 + 32x + -32x

Combine like terms: x + -32x = -31x
53 + -31x = 84 + 32x + -32x

Combine like terms: 32x + -32x = 0
53 + -31x = 84 + 0
53 + -31x = 84

Add '-53' to each side of the equation.
53 + -53 + -31x = 84 + -53

Combine like terms: 53 + -53 = 0
0 + -31x = 84 + -53
-31x = 84 + -53

Combine like terms: 84 + -53 = 31
-31x = 31

Divide each side by '-31'.
x = -1

Simplifying
x = -1

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