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

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


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

Reorder the terms:
5x = -2x + 10(-3 + x)
5x = -2x + (-3 * 10 + x * 10)
5x = -2x + (-30 + 10x)

Reorder the terms:
5x = -30 + -2x + 10x

Combine like terms: -2x + 10x = 8x
5x = -30 + 8x

Solving
5x = -30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5x + -8x = -30 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-3x = -30 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3x = -30 + 0
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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