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

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


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

Reorder the terms:
5 + 4(-7 + x) = 6 + -6(x + -3)
5 + (-7 * 4 + x * 4) = 6 + -6(x + -3)
5 + (-28 + 4x) = 6 + -6(x + -3)

Combine like terms: 5 + -28 = -23
-23 + 4x = 6 + -6(x + -3)

Reorder the terms:
-23 + 4x = 6 + -6(-3 + x)
-23 + 4x = 6 + (-3 * -6 + x * -6)
-23 + 4x = 6 + (18 + -6x)

Combine like terms: 6 + 18 = 24
-23 + 4x = 24 + -6x

Solving
-23 + 4x = 24 + -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.
-23 + 4x + 6x = 24 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-23 + 10x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-23 + 10x = 24 + 0
-23 + 10x = 24

Add '23' to each side of the equation.
-23 + 23 + 10x = 24 + 23

Combine like terms: -23 + 23 = 0
0 + 10x = 24 + 23
10x = 24 + 23

Combine like terms: 24 + 23 = 47
10x = 47

Divide each side by '10'.
x = 4.7

Simplifying
x = 4.7

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