3-(x-4)=2x-6+5x

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Solution for 3-(x-4)=2x-6+5x equation:


Simplifying
3 + -1(x + -4) = 2x + -6 + 5x

Reorder the terms:
3 + -1(-4 + x) = 2x + -6 + 5x
3 + (-4 * -1 + x * -1) = 2x + -6 + 5x
3 + (4 + -1x) = 2x + -6 + 5x

Combine like terms: 3 + 4 = 7
7 + -1x = 2x + -6 + 5x

Reorder the terms:
7 + -1x = -6 + 2x + 5x

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

Solving
7 + -1x = -6 + 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 + -1x + -7x = -6 + 7x + -7x

Combine like terms: -1x + -7x = -8x
7 + -8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -8x = -6 + 0
7 + -8x = -6

Add '-7' to each side of the equation.
7 + -7 + -8x = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -6 + -7
-8x = -6 + -7

Combine like terms: -6 + -7 = -13
-8x = -13

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625

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