15(6x+1)-20(x-13)=90(5x-3)+6(x)

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Solution for 15(6x+1)-20(x-13)=90(5x-3)+6(x) equation: 


Simplifying
15(6x + 1) + -20(x + -13) = 90(5x + -3) + 6(x)

Reorder the terms:
15(1 + 6x) + -20(x + -13) = 90(5x + -3) + 6(x)
(1 * 15 + 6x * 15) + -20(x + -13) = 90(5x + -3) + 6(x)
(15 + 90x) + -20(x + -13) = 90(5x + -3) + 6(x)

Reorder the terms:
15 + 90x + -20(-13 + x) = 90(5x + -3) + 6(x)
15 + 90x + (-13 * -20 + x * -20) = 90(5x + -3) + 6(x)
15 + 90x + (260 + -20x) = 90(5x + -3) + 6(x)

Reorder the terms:
15 + 260 + 90x + -20x = 90(5x + -3) + 6(x)

Combine like terms: 15 + 260 = 275
275 + 90x + -20x = 90(5x + -3) + 6(x)

Combine like terms: 90x + -20x = 70x
275 + 70x = 90(5x + -3) + 6(x)

Reorder the terms:
275 + 70x = 90(-3 + 5x) + 6(x)
275 + 70x = (-3 * 90 + 5x * 90) + 6(x)
275 + 70x = (-270 + 450x) + 6(x)

Combine like terms: 450x + 6x = 456x
275 + 70x = -270 + 456x

Solving
275 + 70x = -270 + 456x

Solving for variable 'x'.

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

Add '-456x' to each side of the equation.
275 + 70x + -456x = -270 + 456x + -456x

Combine like terms: 70x + -456x = -386x
275 + -386x = -270 + 456x + -456x

Combine like terms: 456x + -456x = 0
275 + -386x = -270 + 0
275 + -386x = -270

Add '-275' to each side of the equation.
275 + -275 + -386x = -270 + -275

Combine like terms: 275 + -275 = 0
0 + -386x = -270 + -275
-386x = -270 + -275

Combine like terms: -270 + -275 = -545
-386x = -545

Divide each side by '-386'.
x = 1.411917098

Simplifying
x = 1.411917098

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