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

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


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

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

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

Combine like terms: -5 + -7 = -12
-12 + 3x + -7x = -1(2x + -7)

Combine like terms: 3x + -7x = -4x
-12 + -4x = -1(2x + -7)

Reorder the terms:
-12 + -4x = -1(-7 + 2x)
-12 + -4x = (-7 * -1 + 2x * -1)
-12 + -4x = (7 + -2x)

Solving
-12 + -4x = 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.
-12 + -4x + 2x = 7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-12 + -2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + -2x = 7 + 0
-12 + -2x = 7

Add '12' to each side of the equation.
-12 + 12 + -2x = 7 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 7 + 12
-2x = 7 + 12

Combine like terms: 7 + 12 = 19
-2x = 19

Divide each side by '-2'.
x = -9.5

Simplifying
x = -9.5

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