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

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


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

Reorder the terms:
4(-3 + 2x) + 2(x + -4) = 10
(-3 * 4 + 2x * 4) + 2(x + -4) = 10
(-12 + 8x) + 2(x + -4) = 10

Reorder the terms:
-12 + 8x + 2(-4 + x) = 10
-12 + 8x + (-4 * 2 + x * 2) = 10
-12 + 8x + (-8 + 2x) = 10

Reorder the terms:
-12 + -8 + 8x + 2x = 10

Combine like terms: -12 + -8 = -20
-20 + 8x + 2x = 10

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

Solving
-20 + 10x = 10

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 10 + 20
10x = 10 + 20

Combine like terms: 10 + 20 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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