3-(6x-21)=7(x-3)

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Solution for 3-(6x-21)=7(x-3) equation:


Simplifying
3 + -1(6x + -21) = 7(x + -3)

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

Combine like terms: 3 + 21 = 24
24 + -6x = 7(x + -3)

Reorder the terms:
24 + -6x = 7(-3 + x)
24 + -6x = (-3 * 7 + x * 7)
24 + -6x = (-21 + 7x)

Solving
24 + -6x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + -6x + -7x = -21 + 7x + -7x

Combine like terms: -6x + -7x = -13x
24 + -13x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -13x = -21 + 0
24 + -13x = -21

Add '-24' to each side of the equation.
24 + -24 + -13x = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -13x = -21 + -24
-13x = -21 + -24

Combine like terms: -21 + -24 = -45
-13x = -45

Divide each side by '-13'.
x = 3.461538462

Simplifying
x = 3.461538462

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