x-3(x-2)=7x-2x+5

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Solution for x-3(x-2)=7x-2x+5 equation:


Simplifying
x + -3(x + -2) = 7x + -2x + 5

Reorder the terms:
x + -3(-2 + x) = 7x + -2x + 5
x + (-2 * -3 + x * -3) = 7x + -2x + 5
x + (6 + -3x) = 7x + -2x + 5

Reorder the terms:
6 + x + -3x = 7x + -2x + 5

Combine like terms: x + -3x = -2x
6 + -2x = 7x + -2x + 5

Reorder the terms:
6 + -2x = 5 + 7x + -2x

Combine like terms: 7x + -2x = 5x
6 + -2x = 5 + 5x

Solving
6 + -2x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -2x + -5x = 5 + 5x + -5x

Combine like terms: -2x + -5x = -7x
6 + -7x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -7x = 5 + 0
6 + -7x = 5

Add '-6' to each side of the equation.
6 + -6 + -7x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 5 + -6
-7x = 5 + -6

Combine like terms: 5 + -6 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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