1x(10)+2(30)=3x(6)+1(15)

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Solution for 1x(10)+2(30)=3x(6)+1(15) equation:


Simplifying
1x(10) + 2(30) = 3x(6) + 1(15)

Reorder the terms for easier multiplication:
1 * 10x + 2(30) = 3x(6) + 1(15)

Multiply 1 * 10
10x + 2(30) = 3x(6) + 1(15)

Multiply 2 * 30
10x + 60 = 3x(6) + 1(15)

Reorder the terms:
60 + 10x = 3x(6) + 1(15)

Reorder the terms for easier multiplication:
60 + 10x = 3 * 6x + 1(15)

Multiply 3 * 6
60 + 10x = 18x + 1(15)

Multiply 1 * 15
60 + 10x = 18x + 15

Reorder the terms:
60 + 10x = 15 + 18x

Solving
60 + 10x = 15 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
60 + 10x + -18x = 15 + 18x + -18x

Combine like terms: 10x + -18x = -8x
60 + -8x = 15 + 18x + -18x

Combine like terms: 18x + -18x = 0
60 + -8x = 15 + 0
60 + -8x = 15

Add '-60' to each side of the equation.
60 + -60 + -8x = 15 + -60

Combine like terms: 60 + -60 = 0
0 + -8x = 15 + -60
-8x = 15 + -60

Combine like terms: 15 + -60 = -45
-8x = -45

Divide each side by '-8'.
x = 5.625

Simplifying
x = 5.625

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