3+7(x-6)=4-2(x-4)

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Solution for 3+7(x-6)=4-2(x-4) equation:


Simplifying
3 + 7(x + -6) = 4 + -2(x + -4)

Reorder the terms:
3 + 7(-6 + x) = 4 + -2(x + -4)
3 + (-6 * 7 + x * 7) = 4 + -2(x + -4)
3 + (-42 + 7x) = 4 + -2(x + -4)

Combine like terms: 3 + -42 = -39
-39 + 7x = 4 + -2(x + -4)

Reorder the terms:
-39 + 7x = 4 + -2(-4 + x)
-39 + 7x = 4 + (-4 * -2 + x * -2)
-39 + 7x = 4 + (8 + -2x)

Combine like terms: 4 + 8 = 12
-39 + 7x = 12 + -2x

Solving
-39 + 7x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-39 + 7x + 2x = 12 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-39 + 9x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-39 + 9x = 12 + 0
-39 + 9x = 12

Add '39' to each side of the equation.
-39 + 39 + 9x = 12 + 39

Combine like terms: -39 + 39 = 0
0 + 9x = 12 + 39
9x = 12 + 39

Combine like terms: 12 + 39 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667

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