3(x-7)-4=-5(-5+3)-6x

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Solution for 3(x-7)-4=-5(-5+3)-6x equation:


Simplifying
3(x + -7) + -4 = -5(-5 + 3) + -6x

Reorder the terms:
3(-7 + x) + -4 = -5(-5 + 3) + -6x
(-7 * 3 + x * 3) + -4 = -5(-5 + 3) + -6x
(-21 + 3x) + -4 = -5(-5 + 3) + -6x

Reorder the terms:
-21 + -4 + 3x = -5(-5 + 3) + -6x

Combine like terms: -21 + -4 = -25
-25 + 3x = -5(-5 + 3) + -6x

Combine like terms: -5 + 3 = -2
-25 + 3x = -5(-2) + -6x

Multiply -5 * -2
-25 + 3x = 10 + -6x

Solving
-25 + 3x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-25 + 3x + 6x = 10 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-25 + 9x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-25 + 9x = 10 + 0
-25 + 9x = 10

Add '25' to each side of the equation.
-25 + 25 + 9x = 10 + 25

Combine like terms: -25 + 25 = 0
0 + 9x = 10 + 25
9x = 10 + 25

Combine like terms: 10 + 25 = 35
9x = 35

Divide each side by '9'.
x = 3.888888889

Simplifying
x = 3.888888889

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