3(2x+1)+2(4x+2)=25

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Solution for 3(2x+1)+2(4x+2)=25 equation:


Simplifying
3(2x + 1) + 2(4x + 2) = 25

Reorder the terms:
3(1 + 2x) + 2(4x + 2) = 25
(1 * 3 + 2x * 3) + 2(4x + 2) = 25
(3 + 6x) + 2(4x + 2) = 25

Reorder the terms:
3 + 6x + 2(2 + 4x) = 25
3 + 6x + (2 * 2 + 4x * 2) = 25
3 + 6x + (4 + 8x) = 25

Reorder the terms:
3 + 4 + 6x + 8x = 25

Combine like terms: 3 + 4 = 7
7 + 6x + 8x = 25

Combine like terms: 6x + 8x = 14x
7 + 14x = 25

Solving
7 + 14x = 25

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 14x = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 25 + -7
14x = 25 + -7

Combine like terms: 25 + -7 = 18
14x = 18

Divide each side by '14'.
x = 1.285714286

Simplifying
x = 1.285714286

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