6-4(2x-3)=7-5x-4

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Solution for 6-4(2x-3)=7-5x-4 equation:


Simplifying
6 + -4(2x + -3) = 7 + -5x + -4

Reorder the terms:
6 + -4(-3 + 2x) = 7 + -5x + -4
6 + (-3 * -4 + 2x * -4) = 7 + -5x + -4
6 + (12 + -8x) = 7 + -5x + -4

Combine like terms: 6 + 12 = 18
18 + -8x = 7 + -5x + -4

Reorder the terms:
18 + -8x = 7 + -4 + -5x

Combine like terms: 7 + -4 = 3
18 + -8x = 3 + -5x

Solving
18 + -8x = 3 + -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.
18 + -8x + 5x = 3 + -5x + 5x

Combine like terms: -8x + 5x = -3x
18 + -3x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + -3x = 3 + 0
18 + -3x = 3

Add '-18' to each side of the equation.
18 + -18 + -3x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 3 + -18
-3x = 3 + -18

Combine like terms: 3 + -18 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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