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

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


Simplifying
2(5x + 3) + -1(3x + -2) = 0

Reorder the terms:
2(3 + 5x) + -1(3x + -2) = 0
(3 * 2 + 5x * 2) + -1(3x + -2) = 0
(6 + 10x) + -1(3x + -2) = 0

Reorder the terms:
6 + 10x + -1(-2 + 3x) = 0
6 + 10x + (-2 * -1 + 3x * -1) = 0
6 + 10x + (2 + -3x) = 0

Reorder the terms:
6 + 2 + 10x + -3x = 0

Combine like terms: 6 + 2 = 8
8 + 10x + -3x = 0

Combine like terms: 10x + -3x = 7x
8 + 7x = 0

Solving
8 + 7x = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

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