6(x-60)=x(16-7)

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Solution for 6(x-60)=x(16-7) equation:


Simplifying
6(x + -60) = x(16 + -7)

Reorder the terms:
6(-60 + x) = x(16 + -7)
(-60 * 6 + x * 6) = x(16 + -7)
(-360 + 6x) = x(16 + -7)

Combine like terms: 16 + -7 = 9
-360 + 6x = x(9)

Reorder the terms for easier multiplication:
-360 + 6x = 9x

Solving
-360 + 6x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-360 + 6x + -9x = 9x + -9x

Combine like terms: 6x + -9x = -3x
-360 + -3x = 9x + -9x

Combine like terms: 9x + -9x = 0
-360 + -3x = 0

Add '360' to each side of the equation.
-360 + 360 + -3x = 0 + 360

Combine like terms: -360 + 360 = 0
0 + -3x = 0 + 360
-3x = 0 + 360

Combine like terms: 0 + 360 = 360
-3x = 360

Divide each side by '-3'.
x = -120

Simplifying
x = -120

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