5(4+2x)-(4x-10)=48

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Solution for 5(4+2x)-(4x-10)=48 equation:


Simplifying
5(4 + 2x) + -1(4x + -10) = 48
(4 * 5 + 2x * 5) + -1(4x + -10) = 48
(20 + 10x) + -1(4x + -10) = 48

Reorder the terms:
20 + 10x + -1(-10 + 4x) = 48
20 + 10x + (-10 * -1 + 4x * -1) = 48
20 + 10x + (10 + -4x) = 48

Reorder the terms:
20 + 10 + 10x + -4x = 48

Combine like terms: 20 + 10 = 30
30 + 10x + -4x = 48

Combine like terms: 10x + -4x = 6x
30 + 6x = 48

Solving
30 + 6x = 48

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 6x = 48 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 48 + -30
6x = 48 + -30

Combine like terms: 48 + -30 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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