8+3(x-7)=3-6(x-7)

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Solution for 8+3(x-7)=3-6(x-7) equation:


Simplifying
8 + 3(x + -7) = 3 + -6(x + -7)

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

Combine like terms: 8 + -21 = -13
-13 + 3x = 3 + -6(x + -7)

Reorder the terms:
-13 + 3x = 3 + -6(-7 + x)
-13 + 3x = 3 + (-7 * -6 + x * -6)
-13 + 3x = 3 + (42 + -6x)

Combine like terms: 3 + 42 = 45
-13 + 3x = 45 + -6x

Solving
-13 + 3x = 45 + -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.
-13 + 3x + 6x = 45 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-13 + 9x = 45 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + 9x = 45 + 0
-13 + 9x = 45

Add '13' to each side of the equation.
-13 + 13 + 9x = 45 + 13

Combine like terms: -13 + 13 = 0
0 + 9x = 45 + 13
9x = 45 + 13

Combine like terms: 45 + 13 = 58
9x = 58

Divide each side by '9'.
x = 6.444444444

Simplifying
x = 6.444444444

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