15x+3(2x+1)=10(2x-3)

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


Simplifying
15x + 3(2x + 1) = 10(2x + -3)

Reorder the terms:
15x + 3(1 + 2x) = 10(2x + -3)
15x + (1 * 3 + 2x * 3) = 10(2x + -3)
15x + (3 + 6x) = 10(2x + -3)

Reorder the terms:
3 + 15x + 6x = 10(2x + -3)

Combine like terms: 15x + 6x = 21x
3 + 21x = 10(2x + -3)

Reorder the terms:
3 + 21x = 10(-3 + 2x)
3 + 21x = (-3 * 10 + 2x * 10)
3 + 21x = (-30 + 20x)

Solving
3 + 21x = -30 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
3 + 21x + -20x = -30 + 20x + -20x

Combine like terms: 21x + -20x = 1x
3 + 1x = -30 + 20x + -20x

Combine like terms: 20x + -20x = 0
3 + 1x = -30 + 0
3 + 1x = -30

Add '-3' to each side of the equation.
3 + -3 + 1x = -30 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -30 + -3
1x = -30 + -3

Combine like terms: -30 + -3 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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