2(5x+1)=3(1+2x)+7

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Solution for 2(5x+1)=3(1+2x)+7 equation: 


Simplifying
2(5x + 1) = 3(1 + 2x) + 7

Reorder the terms:
2(1 + 5x) = 3(1 + 2x) + 7
(1 * 2 + 5x * 2) = 3(1 + 2x) + 7
(2 + 10x) = 3(1 + 2x) + 7
2 + 10x = (1 * 3 + 2x * 3) + 7
2 + 10x = (3 + 6x) + 7

Reorder the terms:
2 + 10x = 3 + 7 + 6x

Combine like terms: 3 + 7 = 10
2 + 10x = 10 + 6x

Solving
2 + 10x = 10 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
2 + 4x = 10 + 0
2 + 4x = 10

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

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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