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

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Solution for 2(x-1)+3=-6x+5 equation:


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

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

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

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

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

Solving
1 + 2x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 2x + 6x = 5 + -6x + 6x

Combine like terms: 2x + 6x = 8x
1 + 8x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 8x = 5 + 0
1 + 8x = 5

Add '-1' to each side of the equation.
1 + -1 + 8x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 5 + -1
8x = 5 + -1

Combine like terms: 5 + -1 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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