3(x-5)=4x-11-8x

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Solution for 3(x-5)=4x-11-8x equation:


Simplifying
3(x + -5) = 4x + -11 + -8x

Reorder the terms:
3(-5 + x) = 4x + -11 + -8x
(-5 * 3 + x * 3) = 4x + -11 + -8x
(-15 + 3x) = 4x + -11 + -8x

Reorder the terms:
-15 + 3x = -11 + 4x + -8x

Combine like terms: 4x + -8x = -4x
-15 + 3x = -11 + -4x

Solving
-15 + 3x = -11 + -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.
-15 + 3x + 4x = -11 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x = -11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x = -11 + 0
-15 + 7x = -11

Add '15' to each side of the equation.
-15 + 15 + 7x = -11 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = -11 + 15
7x = -11 + 15

Combine like terms: -11 + 15 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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