2(2x+3)+2(3x-1)=52

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Solution for 2(2x+3)+2(3x-1)=52 equation:


Simplifying
2(2x + 3) + 2(3x + -1) = 52

Reorder the terms:
2(3 + 2x) + 2(3x + -1) = 52
(3 * 2 + 2x * 2) + 2(3x + -1) = 52
(6 + 4x) + 2(3x + -1) = 52

Reorder the terms:
6 + 4x + 2(-1 + 3x) = 52
6 + 4x + (-1 * 2 + 3x * 2) = 52
6 + 4x + (-2 + 6x) = 52

Reorder the terms:
6 + -2 + 4x + 6x = 52

Combine like terms: 6 + -2 = 4
4 + 4x + 6x = 52

Combine like terms: 4x + 6x = 10x
4 + 10x = 52

Solving
4 + 10x = 52

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 10x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 52 + -4
10x = 52 + -4

Combine like terms: 52 + -4 = 48
10x = 48

Divide each side by '10'.
x = 4.8

Simplifying
x = 4.8

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