3-3x-2(1-x)=7x+18-28

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Solution for 3-3x-2(1-x)=7x+18-28 equation:


Simplifying
3 + -3x + -2(1 + -1x) = 7x + 18 + -28
3 + -3x + (1 * -2 + -1x * -2) = 7x + 18 + -28
3 + -3x + (-2 + 2x) = 7x + 18 + -28

Reorder the terms:
3 + -2 + -3x + 2x = 7x + 18 + -28

Combine like terms: 3 + -2 = 1
1 + -3x + 2x = 7x + 18 + -28

Combine like terms: -3x + 2x = -1x
1 + -1x = 7x + 18 + -28

Reorder the terms:
1 + -1x = 18 + -28 + 7x

Combine like terms: 18 + -28 = -10
1 + -1x = -10 + 7x

Solving
1 + -1x = -10 + 7x

Solving for variable 'x'.

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

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

Combine like terms: -1x + -7x = -8x
1 + -8x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -8x = -10 + 0
1 + -8x = -10

Add '-1' to each side of the equation.
1 + -1 + -8x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = -10 + -1
-8x = -10 + -1

Combine like terms: -10 + -1 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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