6x-10(4x-2)=10x+34

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Solution for 6x-10(4x-2)=10x+34 equation:


Simplifying
6x + -10(4x + -2) = 10x + 34

Reorder the terms:
6x + -10(-2 + 4x) = 10x + 34
6x + (-2 * -10 + 4x * -10) = 10x + 34
6x + (20 + -40x) = 10x + 34

Reorder the terms:
20 + 6x + -40x = 10x + 34

Combine like terms: 6x + -40x = -34x
20 + -34x = 10x + 34

Reorder the terms:
20 + -34x = 34 + 10x

Solving
20 + -34x = 34 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + -34x + -10x = 34 + 10x + -10x

Combine like terms: -34x + -10x = -44x
20 + -44x = 34 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + -44x = 34 + 0
20 + -44x = 34

Add '-20' to each side of the equation.
20 + -20 + -44x = 34 + -20

Combine like terms: 20 + -20 = 0
0 + -44x = 34 + -20
-44x = 34 + -20

Combine like terms: 34 + -20 = 14
-44x = 14

Divide each side by '-44'.
x = -0.3181818182

Simplifying
x = -0.3181818182

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