4(2X-10)-5(7-X)=4X-3

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Solution for 4(2X-10)-5(7-X)=4X-3 equation: 


Simplifying
4(2X + -10) + -5(7 + -1X) = 4X + -3

Reorder the terms:
4(-10 + 2X) + -5(7 + -1X) = 4X + -3
(-10 * 4 + 2X * 4) + -5(7 + -1X) = 4X + -3
(-40 + 8X) + -5(7 + -1X) = 4X + -3
-40 + 8X + (7 * -5 + -1X * -5) = 4X + -3
-40 + 8X + (-35 + 5X) = 4X + -3

Reorder the terms:
-40 + -35 + 8X + 5X = 4X + -3

Combine like terms: -40 + -35 = -75
-75 + 8X + 5X = 4X + -3

Combine like terms: 8X + 5X = 13X
-75 + 13X = 4X + -3

Reorder the terms:
-75 + 13X = -3 + 4X

Solving
-75 + 13X = -3 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
-75 + 13X + -4X = -3 + 4X + -4X

Combine like terms: 13X + -4X = 9X
-75 + 9X = -3 + 4X + -4X

Combine like terms: 4X + -4X = 0
-75 + 9X = -3 + 0
-75 + 9X = -3

Add '75' to each side of the equation.
-75 + 75 + 9X = -3 + 75

Combine like terms: -75 + 75 = 0
0 + 9X = -3 + 75
9X = -3 + 75

Combine like terms: -3 + 75 = 72
9X = 72

Divide each side by '9'.
X = 8

Simplifying
X = 8

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