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

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


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

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

Reorder the terms:
15 + X + -5x = 2(x + -10)

Reorder the terms:
15 + X + -5x = 2(-10 + x)
15 + X + -5x = (-10 * 2 + x * 2)
15 + X + -5x = (-20 + 2x)

Solving
15 + X + -5x = -20 + 2x

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X + -15 + -5x = -20 + -15 + 2x

Reorder the terms:
15 + -15 + X + -5x = -20 + -15 + 2x

Combine like terms: 15 + -15 = 0
0 + X + -5x = -20 + -15 + 2x
X + -5x = -20 + -15 + 2x

Combine like terms: -20 + -15 = -35
X + -5x = -35 + 2x

Add '5x' to each side of the equation.
X + -5x + 5x = -35 + 2x + 5x

Combine like terms: -5x + 5x = 0
X + 0 = -35 + 2x + 5x
X = -35 + 2x + 5x

Combine like terms: 2x + 5x = 7x
X = -35 + 7x

Simplifying
X = -35 + 7x

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