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

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


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

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

Reorder the terms:
2 = -4 + 5 + 4x + -3x

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

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

Solving
2 = 1 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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