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

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


Simplifying
2(7 + -3x) + -4 = 6 + -1(5 + -3x)
(7 * 2 + -3x * 2) + -4 = 6 + -1(5 + -3x)
(14 + -6x) + -4 = 6 + -1(5 + -3x)

Reorder the terms:
14 + -4 + -6x = 6 + -1(5 + -3x)

Combine like terms: 14 + -4 = 10
10 + -6x = 6 + -1(5 + -3x)
10 + -6x = 6 + (5 * -1 + -3x * -1)
10 + -6x = 6 + (-5 + 3x)

Combine like terms: 6 + -5 = 1
10 + -6x = 1 + 3x

Solving
10 + -6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -6x + -3x = 1 + 3x + -3x

Combine like terms: -6x + -3x = -9x
10 + -9x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -9x = 1 + 0
10 + -9x = 1

Add '-10' to each side of the equation.
10 + -10 + -9x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 1 + -10
-9x = 1 + -10

Combine like terms: 1 + -10 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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