2(3x+5)=10x+2

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Solution for 2(3x+5)=10x+2 equation:


Simplifying
2(3x + 5) = 10x + 2

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

Reorder the terms:
10 + 6x = 2 + 10x

Solving
10 + 6x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + 6x + -10x = 2 + 10x + -10x

Combine like terms: 6x + -10x = -4x
10 + -4x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -4x = 2 + 0
10 + -4x = 2

Add '-10' to each side of the equation.
10 + -10 + -4x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 2 + -10
-4x = 2 + -10

Combine like terms: 2 + -10 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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