6(3x-1)=8-(10x-14)

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Solution for 6(3x-1)=8-(10x-14) equation:


Simplifying
6(3x + -1) = 8 + -1(10x + -14)

Reorder the terms:
6(-1 + 3x) = 8 + -1(10x + -14)
(-1 * 6 + 3x * 6) = 8 + -1(10x + -14)
(-6 + 18x) = 8 + -1(10x + -14)

Reorder the terms:
-6 + 18x = 8 + -1(-14 + 10x)
-6 + 18x = 8 + (-14 * -1 + 10x * -1)
-6 + 18x = 8 + (14 + -10x)

Combine like terms: 8 + 14 = 22
-6 + 18x = 22 + -10x

Solving
-6 + 18x = 22 + -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.
-6 + 18x + 10x = 22 + -10x + 10x

Combine like terms: 18x + 10x = 28x
-6 + 28x = 22 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 28x = 22 + 0
-6 + 28x = 22

Add '6' to each side of the equation.
-6 + 6 + 28x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 28x = 22 + 6
28x = 22 + 6

Combine like terms: 22 + 6 = 28
28x = 28

Divide each side by '28'.
x = 1

Simplifying
x = 1

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