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

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


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

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

Reorder the terms:
-10 + 4x = 7 + 3 + -3x + -1x

Combine like terms: 7 + 3 = 10
-10 + 4x = 10 + -3x + -1x

Combine like terms: -3x + -1x = -4x
-10 + 4x = 10 + -4x

Solving
-10 + 4x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + 4x + 4x = 10 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-10 + 8x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 8x = 10 + 0
-10 + 8x = 10

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

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

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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