2(x-3)-1=7x

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Solution for 2(x-3)-1=7x equation:


Simplifying
2(x + -3) + -1 = 7x

Reorder the terms:
2(-3 + x) + -1 = 7x
(-3 * 2 + x * 2) + -1 = 7x
(-6 + 2x) + -1 = 7x

Reorder the terms:
-6 + -1 + 2x = 7x

Combine like terms: -6 + -1 = -7
-7 + 2x = 7x

Solving
-7 + 2x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 2x + -7x = 7x + -7x

Combine like terms: 2x + -7x = -5x
-7 + -5x = 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -5x = 0

Add '7' to each side of the equation.
-7 + 7 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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