-2(4x-5)=3x-10(x-3)

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Solution for -2(4x-5)=3x-10(x-3) equation:


Simplifying
-2(4x + -5) = 3x + -10(x + -3)

Reorder the terms:
-2(-5 + 4x) = 3x + -10(x + -3)
(-5 * -2 + 4x * -2) = 3x + -10(x + -3)
(10 + -8x) = 3x + -10(x + -3)

Reorder the terms:
10 + -8x = 3x + -10(-3 + x)
10 + -8x = 3x + (-3 * -10 + x * -10)
10 + -8x = 3x + (30 + -10x)

Reorder the terms:
10 + -8x = 30 + 3x + -10x

Combine like terms: 3x + -10x = -7x
10 + -8x = 30 + -7x

Solving
10 + -8x = 30 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + -8x + 7x = 30 + -7x + 7x

Combine like terms: -8x + 7x = -1x
10 + -1x = 30 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + -1x = 30 + 0
10 + -1x = 30

Add '-10' to each side of the equation.
10 + -10 + -1x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 30 + -10
-1x = 30 + -10

Combine like terms: 30 + -10 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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