(2x-3)(-2)=4-(7x+1)

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Solution for (2x-3)(-2)=4-(7x+1) equation:


Simplifying
(2x + -3)(-2) = 4 + -1(7x + 1)

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

Reorder the terms for easier multiplication:
-2(-3 + 2x) = 4 + -1(7x + 1)
(-3 * -2 + 2x * -2) = 4 + -1(7x + 1)
(6 + -4x) = 4 + -1(7x + 1)

Reorder the terms:
6 + -4x = 4 + -1(1 + 7x)
6 + -4x = 4 + (1 * -1 + 7x * -1)
6 + -4x = 4 + (-1 + -7x)

Combine like terms: 4 + -1 = 3
6 + -4x = 3 + -7x

Solving
6 + -4x = 3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + -4x + 7x = 3 + -7x + 7x

Combine like terms: -4x + 7x = 3x
6 + 3x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 3x = 3 + 0
6 + 3x = 3

Add '-6' to each side of the equation.
6 + -6 + 3x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 3 + -6
3x = 3 + -6

Combine like terms: 3 + -6 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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