4(2x-1)+5(X-3)=102

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Solution for 4(2x-1)+5(X-3)=102 equation:


Simplifying
4(2x + -1) + 5(X + -3) = 102

Reorder the terms:
4(-1 + 2x) + 5(X + -3) = 102
(-1 * 4 + 2x * 4) + 5(X + -3) = 102
(-4 + 8x) + 5(X + -3) = 102

Reorder the terms:
-4 + 8x + 5(-3 + X) = 102
-4 + 8x + (-3 * 5 + X * 5) = 102
-4 + 8x + (-15 + 5X) = 102

Reorder the terms:
-4 + -15 + 5X + 8x = 102

Combine like terms: -4 + -15 = -19
-19 + 5X + 8x = 102

Solving
-19 + 5X + 8x = 102

Solving for variable 'X'.

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

Add '19' to each side of the equation.
-19 + 5X + 19 + 8x = 102 + 19

Reorder the terms:
-19 + 19 + 5X + 8x = 102 + 19

Combine like terms: -19 + 19 = 0
0 + 5X + 8x = 102 + 19
5X + 8x = 102 + 19

Combine like terms: 102 + 19 = 121
5X + 8x = 121

Add '-8x' to each side of the equation.
5X + 8x + -8x = 121 + -8x

Combine like terms: 8x + -8x = 0
5X + 0 = 121 + -8x
5X = 121 + -8x

Divide each side by '5'.
X = 24.2 + -1.6x

Simplifying
X = 24.2 + -1.6x

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