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

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


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

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

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

Combine like terms: 5 + -7 = -2
10 + -6x = -2 + -3x

Solving
10 + -6x = -2 + -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 = -2 + -3x + 3x

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

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

Add '-10' to each side of the equation.
10 + -10 + -3x = -2 + -10

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

Combine like terms: -2 + -10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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