5(2x+3)=10x-(x-3)

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Solution for 5(2x+3)=10x-(x-3) equation:


Simplifying
5(2x + 3) = 10x + -1(x + -3)

Reorder the terms:
5(3 + 2x) = 10x + -1(x + -3)
(3 * 5 + 2x * 5) = 10x + -1(x + -3)
(15 + 10x) = 10x + -1(x + -3)

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

Reorder the terms:
15 + 10x = 3 + 10x + -1x

Combine like terms: 10x + -1x = 9x
15 + 10x = 3 + 9x

Solving
15 + 10x = 3 + 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.
15 + 10x + -9x = 3 + 9x + -9x

Combine like terms: 10x + -9x = 1x
15 + 1x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + 1x = 3 + 0
15 + 1x = 3

Add '-15' to each side of the equation.
15 + -15 + 1x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 3 + -15
1x = 3 + -15

Combine like terms: 3 + -15 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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