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

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


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

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

Combine like terms: 4 + 3 = 7
7 + -3x = 2(5 + -1x)
7 + -3x = (5 * 2 + -1x * 2)
7 + -3x = (10 + -2x)

Solving
7 + -3x = 10 + -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.
7 + -3x + 2x = 10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
7 + -1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -1x = 10 + 0
7 + -1x = 10

Add '-7' to each side of the equation.
7 + -7 + -1x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 10 + -7
-1x = 10 + -7

Combine like terms: 10 + -7 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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