8x-3(2x-5)=45-4(3x-10)

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Solution for 8x-3(2x-5)=45-4(3x-10) equation:


Simplifying
8x + -3(2x + -5) = 45 + -4(3x + -10)

Reorder the terms:
8x + -3(-5 + 2x) = 45 + -4(3x + -10)
8x + (-5 * -3 + 2x * -3) = 45 + -4(3x + -10)
8x + (15 + -6x) = 45 + -4(3x + -10)

Reorder the terms:
15 + 8x + -6x = 45 + -4(3x + -10)

Combine like terms: 8x + -6x = 2x
15 + 2x = 45 + -4(3x + -10)

Reorder the terms:
15 + 2x = 45 + -4(-10 + 3x)
15 + 2x = 45 + (-10 * -4 + 3x * -4)
15 + 2x = 45 + (40 + -12x)

Combine like terms: 45 + 40 = 85
15 + 2x = 85 + -12x

Solving
15 + 2x = 85 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
15 + 2x + 12x = 85 + -12x + 12x

Combine like terms: 2x + 12x = 14x
15 + 14x = 85 + -12x + 12x

Combine like terms: -12x + 12x = 0
15 + 14x = 85 + 0
15 + 14x = 85

Add '-15' to each side of the equation.
15 + -15 + 14x = 85 + -15

Combine like terms: 15 + -15 = 0
0 + 14x = 85 + -15
14x = 85 + -15

Combine like terms: 85 + -15 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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