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

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Solution for 3+2(x-1)=4x-5 equation:


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

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

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

Reorder the terms:
1 + 2x = -5 + 4x

Solving
1 + 2x = -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.
1 + 2x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
1 + -2x = -5 + 0
1 + -2x = -5

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

Combine like terms: 1 + -1 = 0
0 + -2x = -5 + -1
-2x = -5 + -1

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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