7-(x-3)=2x+5-6x

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Solution for 7-(x-3)=2x+5-6x equation:


Simplifying
7 + -1(x + -3) = 2x + 5 + -6x

Reorder the terms:
7 + -1(-3 + x) = 2x + 5 + -6x
7 + (-3 * -1 + x * -1) = 2x + 5 + -6x
7 + (3 + -1x) = 2x + 5 + -6x

Combine like terms: 7 + 3 = 10
10 + -1x = 2x + 5 + -6x

Reorder the terms:
10 + -1x = 5 + 2x + -6x

Combine like terms: 2x + -6x = -4x
10 + -1x = 5 + -4x

Solving
10 + -1x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -1x + 4x = 5 + -4x + 4x

Combine like terms: -1x + 4x = 3x
10 + 3x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 3x = 5 + 0
10 + 3x = 5

Add '-10' to each side of the equation.
10 + -10 + 3x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 5 + -10
3x = 5 + -10

Combine like terms: 5 + -10 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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