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

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Solution for 2(x-1)+5=4x+6 equation:


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

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

Reorder the terms:
-2 + 5 + 2x = 4x + 6

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

Reorder the terms:
3 + 2x = 6 + 4x

Solving
3 + 2x = 6 + 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.
3 + 2x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -2x = 6 + 0
3 + -2x = 6

Add '-3' to each side of the equation.
3 + -3 + -2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 6 + -3
-2x = 6 + -3

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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