5-(6x-3)=3(-x+7)

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Solution for 5-(6x-3)=3(-x+7) equation:


Simplifying
5 + -1(6x + -3) = 3(-1x + 7)

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

Combine like terms: 5 + 3 = 8
8 + -6x = 3(-1x + 7)

Reorder the terms:
8 + -6x = 3(7 + -1x)
8 + -6x = (7 * 3 + -1x * 3)
8 + -6x = (21 + -3x)

Solving
8 + -6x = 21 + -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.
8 + -6x + 3x = 21 + -3x + 3x

Combine like terms: -6x + 3x = -3x
8 + -3x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + -3x = 21 + 0
8 + -3x = 21

Add '-8' to each side of the equation.
8 + -8 + -3x = 21 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 21 + -8
-3x = 21 + -8

Combine like terms: 21 + -8 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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