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

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


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

Reorder the terms:
2(-7 + x) + -3(x + 2) = 3 + -1(5x + -2)
(-7 * 2 + x * 2) + -3(x + 2) = 3 + -1(5x + -2)
(-14 + 2x) + -3(x + 2) = 3 + -1(5x + -2)

Reorder the terms:
-14 + 2x + -3(2 + x) = 3 + -1(5x + -2)
-14 + 2x + (2 * -3 + x * -3) = 3 + -1(5x + -2)
-14 + 2x + (-6 + -3x) = 3 + -1(5x + -2)

Reorder the terms:
-14 + -6 + 2x + -3x = 3 + -1(5x + -2)

Combine like terms: -14 + -6 = -20
-20 + 2x + -3x = 3 + -1(5x + -2)

Combine like terms: 2x + -3x = -1x
-20 + -1x = 3 + -1(5x + -2)

Reorder the terms:
-20 + -1x = 3 + -1(-2 + 5x)
-20 + -1x = 3 + (-2 * -1 + 5x * -1)
-20 + -1x = 3 + (2 + -5x)

Combine like terms: 3 + 2 = 5
-20 + -1x = 5 + -5x

Solving
-20 + -1x = 5 + -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.
-20 + -1x + 5x = 5 + -5x + 5x

Combine like terms: -1x + 5x = 4x
-20 + 4x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-20 + 4x = 5 + 0
-20 + 4x = 5

Add '20' to each side of the equation.
-20 + 20 + 4x = 5 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 5 + 20
4x = 5 + 20

Combine like terms: 5 + 20 = 25
4x = 25

Divide each side by '4'.
x = 6.25

Simplifying
x = 6.25

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