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

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


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

Reorder the terms:
7 + -3(-5 + 2x) = -1(3x + 7)
7 + (-5 * -3 + 2x * -3) = -1(3x + 7)
7 + (15 + -6x) = -1(3x + 7)

Combine like terms: 7 + 15 = 22
22 + -6x = -1(3x + 7)

Reorder the terms:
22 + -6x = -1(7 + 3x)
22 + -6x = (7 * -1 + 3x * -1)
22 + -6x = (-7 + -3x)

Solving
22 + -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.
22 + -6x + 3x = -7 + -3x + 3x

Combine like terms: -6x + 3x = -3x
22 + -3x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + -3x = -7 + 0
22 + -3x = -7

Add '-22' to each side of the equation.
22 + -22 + -3x = -7 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = -7 + -22
-3x = -7 + -22

Combine like terms: -7 + -22 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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