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

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


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

Reorder the terms:
3x + -4(-5 + 2x) = 3(x + -2) + 10
3x + (-5 * -4 + 2x * -4) = 3(x + -2) + 10
3x + (20 + -8x) = 3(x + -2) + 10

Reorder the terms:
20 + 3x + -8x = 3(x + -2) + 10

Combine like terms: 3x + -8x = -5x
20 + -5x = 3(x + -2) + 10

Reorder the terms:
20 + -5x = 3(-2 + x) + 10
20 + -5x = (-2 * 3 + x * 3) + 10
20 + -5x = (-6 + 3x) + 10

Reorder the terms:
20 + -5x = -6 + 10 + 3x

Combine like terms: -6 + 10 = 4
20 + -5x = 4 + 3x

Solving
20 + -5x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -5x + -3x = 4 + 3x + -3x

Combine like terms: -5x + -3x = -8x
20 + -8x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -8x = 4 + 0
20 + -8x = 4

Add '-20' to each side of the equation.
20 + -20 + -8x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 4 + -20
-8x = 4 + -20

Combine like terms: 4 + -20 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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