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

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


Simplifying
2(x + -1) + 3 = -2x + 7

Reorder the terms:
2(-1 + x) + 3 = -2x + 7
(-1 * 2 + x * 2) + 3 = -2x + 7
(-2 + 2x) + 3 = -2x + 7

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

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

Reorder the terms:
1 + 2x = 7 + -2x

Solving
1 + 2x = 7 + -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.
1 + 2x + 2x = 7 + -2x + 2x

Combine like terms: 2x + 2x = 4x
1 + 4x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 4x = 7 + 0
1 + 4x = 7

Add '-1' to each side of the equation.
1 + -1 + 4x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 7 + -1
4x = 7 + -1

Combine like terms: 7 + -1 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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