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

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


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

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

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

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

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

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

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

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 5x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-5 + 7x = 4 + 0
-5 + 7x = 4

Add '5' to each side of the equation.
-5 + 5 + 7x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 4 + 5
7x = 4 + 5

Combine like terms: 4 + 5 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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