2(5-3x)=-3x-7

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


Simplifying
2(5 + -3x) = -3x + -7
(5 * 2 + -3x * 2) = -3x + -7
(10 + -6x) = -3x + -7

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

Solving
10 + -6x = -7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -6x + 3x = -7 + -3x + 3x

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

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

Add '-10' to each side of the equation.
10 + -10 + -3x = -7 + -10

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

Combine like terms: -7 + -10 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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