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

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


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

Reorder the terms:
3x + -4(-8 + 3x) = x + 10
3x + (-8 * -4 + 3x * -4) = x + 10
3x + (32 + -12x) = x + 10

Reorder the terms:
32 + 3x + -12x = x + 10

Combine like terms: 3x + -12x = -9x
32 + -9x = x + 10

Reorder the terms:
32 + -9x = 10 + x

Solving
32 + -9x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32 + -9x + -1x = 10 + x + -1x

Combine like terms: -9x + -1x = -10x
32 + -10x = 10 + x + -1x

Combine like terms: x + -1x = 0
32 + -10x = 10 + 0
32 + -10x = 10

Add '-32' to each side of the equation.
32 + -32 + -10x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = 10 + -32
-10x = 10 + -32

Combine like terms: 10 + -32 = -22
-10x = -22

Divide each side by '-10'.
x = 2.2

Simplifying
x = 2.2

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