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

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Solution for 3-2(x-5)=7x-5(x+1) equation:


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

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

Combine like terms: 3 + 10 = 13
13 + -2x = 7x + -5(x + 1)

Reorder the terms:
13 + -2x = 7x + -5(1 + x)
13 + -2x = 7x + (1 * -5 + x * -5)
13 + -2x = 7x + (-5 + -5x)

Reorder the terms:
13 + -2x = -5 + 7x + -5x

Combine like terms: 7x + -5x = 2x
13 + -2x = -5 + 2x

Solving
13 + -2x = -5 + 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.
13 + -2x + -2x = -5 + 2x + -2x

Combine like terms: -2x + -2x = -4x
13 + -4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -4x = -5 + 0
13 + -4x = -5

Add '-13' to each side of the equation.
13 + -13 + -4x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -5 + -13
-4x = -5 + -13

Combine like terms: -5 + -13 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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