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

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


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

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

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

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

Combine like terms: 4 + 20 = 24
24 + 8x + -10x = 2

Combine like terms: 8x + -10x = -2x
24 + -2x = 2

Solving
24 + -2x = 2

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -2x = 2 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 2 + -24
-2x = 2 + -24

Combine like terms: 2 + -24 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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