2(5x+3)-6(x-4)=48

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Solution for 2(5x+3)-6(x-4)=48 equation:


Simplifying
2(5x + 3) + -6(x + -4) = 48

Reorder the terms:
2(3 + 5x) + -6(x + -4) = 48
(3 * 2 + 5x * 2) + -6(x + -4) = 48
(6 + 10x) + -6(x + -4) = 48

Reorder the terms:
6 + 10x + -6(-4 + x) = 48
6 + 10x + (-4 * -6 + x * -6) = 48
6 + 10x + (24 + -6x) = 48

Reorder the terms:
6 + 24 + 10x + -6x = 48

Combine like terms: 6 + 24 = 30
30 + 10x + -6x = 48

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

Solving
30 + 4x = 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 + 4x = 48 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 48 + -30
4x = 48 + -30

Combine like terms: 48 + -30 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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