6+7(x-4)=5-4(x-8)

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Solution for 6+7(x-4)=5-4(x-8) equation:


Simplifying
6 + 7(x + -4) = 5 + -4(x + -8)

Reorder the terms:
6 + 7(-4 + x) = 5 + -4(x + -8)
6 + (-4 * 7 + x * 7) = 5 + -4(x + -8)
6 + (-28 + 7x) = 5 + -4(x + -8)

Combine like terms: 6 + -28 = -22
-22 + 7x = 5 + -4(x + -8)

Reorder the terms:
-22 + 7x = 5 + -4(-8 + x)
-22 + 7x = 5 + (-8 * -4 + x * -4)
-22 + 7x = 5 + (32 + -4x)

Combine like terms: 5 + 32 = 37
-22 + 7x = 37 + -4x

Solving
-22 + 7x = 37 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-22 + 7x + 4x = 37 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-22 + 11x = 37 + -4x + 4x

Combine like terms: -4x + 4x = 0
-22 + 11x = 37 + 0
-22 + 11x = 37

Add '22' to each side of the equation.
-22 + 22 + 11x = 37 + 22

Combine like terms: -22 + 22 = 0
0 + 11x = 37 + 22
11x = 37 + 22

Combine like terms: 37 + 22 = 59
11x = 59

Divide each side by '11'.
x = 5.363636364

Simplifying
x = 5.363636364

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