7-3(2-x)=5x-2

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Solution for 7-3(2-x)=5x-2 equation:


Simplifying
7 + -3(2 + -1x) = 5x + -2
7 + (2 * -3 + -1x * -3) = 5x + -2
7 + (-6 + 3x) = 5x + -2

Combine like terms: 7 + -6 = 1
1 + 3x = 5x + -2

Reorder the terms:
1 + 3x = -2 + 5x

Solving
1 + 3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 3x + -5x = -2 + 5x + -5x

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

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

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

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

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

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

Simplifying
x = 1.5

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