4(x-2)-10(2x+1)=2

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Solution for 4(x-2)-10(2x+1)=2 equation:


Simplifying
4(x + -2) + -10(2x + 1) = 2

Reorder the terms:
4(-2 + x) + -10(2x + 1) = 2
(-2 * 4 + x * 4) + -10(2x + 1) = 2
(-8 + 4x) + -10(2x + 1) = 2

Reorder the terms:
-8 + 4x + -10(1 + 2x) = 2
-8 + 4x + (1 * -10 + 2x * -10) = 2
-8 + 4x + (-10 + -20x) = 2

Reorder the terms:
-8 + -10 + 4x + -20x = 2

Combine like terms: -8 + -10 = -18
-18 + 4x + -20x = 2

Combine like terms: 4x + -20x = -16x
-18 + -16x = 2

Solving
-18 + -16x = 2

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -16x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + -16x = 2 + 18
-16x = 2 + 18

Combine like terms: 2 + 18 = 20
-16x = 20

Divide each side by '-16'.
x = -1.25

Simplifying
x = -1.25

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