6470=0.15(x-14600)+1460

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Solution for 6470=0.15(x-14600)+1460 equation: 


Simplifying
6470 = 0.15(x + -14600) + 1460

Reorder the terms:
6470 = 0.15(-14600 + x) + 1460
6470 = (-14600 * 0.15 + x * 0.15) + 1460
6470 = (-2190 + 0.15x) + 1460

Reorder the terms:
6470 = -2190 + 1460 + 0.15x

Combine like terms: -2190 + 1460 = -730
6470 = -730 + 0.15x

Solving
6470 = -730 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
6470 + -0.15x = -730 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
6470 + -0.15x = -730 + 0.00
6470 + -0.15x = -730

Add '-6470' to each side of the equation.
6470 + -6470 + -0.15x = -730 + -6470

Combine like terms: 6470 + -6470 = 0
0 + -0.15x = -730 + -6470
-0.15x = -730 + -6470

Combine like terms: -730 + -6470 = -7200
-0.15x = -7200

Divide each side by '-0.15'.
x = 48000

Simplifying
x = 48000

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