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

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


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

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

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

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

Reorder the terms:
6 + 5x = 5 + x

Solving
6 + 5x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 5x + -1x = 5 + x + -1x

Combine like terms: 5x + -1x = 4x
6 + 4x = 5 + x + -1x

Combine like terms: x + -1x = 0
6 + 4x = 5 + 0
6 + 4x = 5

Add '-6' to each side of the equation.
6 + -6 + 4x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 5 + -6
4x = 5 + -6

Combine like terms: 5 + -6 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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