5x+10=3(x-15)

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Solution for 5x+10=3(x-15) equation:


Simplifying
5x + 10 = 3(x + -15)

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

Reorder the terms:
10 + 5x = 3(-15 + x)
10 + 5x = (-15 * 3 + x * 3)
10 + 5x = (-45 + 3x)

Solving
10 + 5x = -45 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = -45 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = -45 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = -45 + 0
10 + 2x = -45

Add '-10' to each side of the equation.
10 + -10 + 2x = -45 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -45 + -10
2x = -45 + -10

Combine like terms: -45 + -10 = -55
2x = -55

Divide each side by '2'.
x = -27.5

Simplifying
x = -27.5

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