8+9(x-8)=3-4(x-4)

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Solution for 8+9(x-8)=3-4(x-4) equation:


Simplifying
8 + 9(x + -8) = 3 + -4(x + -4)

Reorder the terms:
8 + 9(-8 + x) = 3 + -4(x + -4)
8 + (-8 * 9 + x * 9) = 3 + -4(x + -4)
8 + (-72 + 9x) = 3 + -4(x + -4)

Combine like terms: 8 + -72 = -64
-64 + 9x = 3 + -4(x + -4)

Reorder the terms:
-64 + 9x = 3 + -4(-4 + x)
-64 + 9x = 3 + (-4 * -4 + x * -4)
-64 + 9x = 3 + (16 + -4x)

Combine like terms: 3 + 16 = 19
-64 + 9x = 19 + -4x

Solving
-64 + 9x = 19 + -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.
-64 + 9x + 4x = 19 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-64 + 13x = 19 + -4x + 4x

Combine like terms: -4x + 4x = 0
-64 + 13x = 19 + 0
-64 + 13x = 19

Add '64' to each side of the equation.
-64 + 64 + 13x = 19 + 64

Combine like terms: -64 + 64 = 0
0 + 13x = 19 + 64
13x = 19 + 64

Combine like terms: 19 + 64 = 83
13x = 83

Divide each side by '13'.
x = 6.384615385

Simplifying
x = 6.384615385

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