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

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


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

Reorder the terms:
-10(-3 + x) = -1(2x + -5)
(-3 * -10 + x * -10) = -1(2x + -5)
(30 + -10x) = -1(2x + -5)

Reorder the terms:
30 + -10x = -1(-5 + 2x)
30 + -10x = (-5 * -1 + 2x * -1)
30 + -10x = (5 + -2x)

Solving
30 + -10x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
30 + -10x + 2x = 5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
30 + -8x = 5 + 0
30 + -8x = 5

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

Combine like terms: 30 + -30 = 0
0 + -8x = 5 + -30
-8x = 5 + -30

Combine like terms: 5 + -30 = -25
-8x = -25

Divide each side by '-8'.
x = 3.125

Simplifying
x = 3.125

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