2-3(5-7x)=14+2(1+5x)

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Solution for 2-3(5-7x)=14+2(1+5x) equation: 


Simplifying
2 + -3(5 + -7x) = 14 + 2(1 + 5x)
2 + (5 * -3 + -7x * -3) = 14 + 2(1 + 5x)
2 + (-15 + 21x) = 14 + 2(1 + 5x)

Combine like terms: 2 + -15 = -13
-13 + 21x = 14 + 2(1 + 5x)
-13 + 21x = 14 + (1 * 2 + 5x * 2)
-13 + 21x = 14 + (2 + 10x)

Combine like terms: 14 + 2 = 16
-13 + 21x = 16 + 10x

Solving
-13 + 21x = 16 + 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.
-13 + 21x + -10x = 16 + 10x + -10x

Combine like terms: 21x + -10x = 11x
-13 + 11x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
-13 + 11x = 16 + 0
-13 + 11x = 16

Add '13' to each side of the equation.
-13 + 13 + 11x = 16 + 13

Combine like terms: -13 + 13 = 0
0 + 11x = 16 + 13
11x = 16 + 13

Combine like terms: 16 + 13 = 29
11x = 29

Divide each side by '11'.
x = 2.636363636

Simplifying
x = 2.636363636

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