8(x-4)+4=-10-3(x-3)

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Solution for 8(x-4)+4=-10-3(x-3) equation:


Simplifying
8(x + -4) + 4 = -10 + -3(x + -3)

Reorder the terms:
8(-4 + x) + 4 = -10 + -3(x + -3)
(-4 * 8 + x * 8) + 4 = -10 + -3(x + -3)
(-32 + 8x) + 4 = -10 + -3(x + -3)

Reorder the terms:
-32 + 4 + 8x = -10 + -3(x + -3)

Combine like terms: -32 + 4 = -28
-28 + 8x = -10 + -3(x + -3)

Reorder the terms:
-28 + 8x = -10 + -3(-3 + x)
-28 + 8x = -10 + (-3 * -3 + x * -3)
-28 + 8x = -10 + (9 + -3x)

Combine like terms: -10 + 9 = -1
-28 + 8x = -1 + -3x

Solving
-28 + 8x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-28 + 8x + 3x = -1 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-28 + 11x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 11x = -1 + 0
-28 + 11x = -1

Add '28' to each side of the equation.
-28 + 28 + 11x = -1 + 28

Combine like terms: -28 + 28 = 0
0 + 11x = -1 + 28
11x = -1 + 28

Combine like terms: -1 + 28 = 27
11x = 27

Divide each side by '11'.
x = 2.454545455

Simplifying
x = 2.454545455

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