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

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


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

Reorder the terms:
2((5 + 3x) + -7) = 3(4x + -3)

Remove parenthesis around (5 + 3x)
2(5 + 3x + -7) = 3(4x + -3)

Reorder the terms:
2(5 + -7 + 3x) = 3(4x + -3)

Combine like terms: 5 + -7 = -2
2(-2 + 3x) = 3(4x + -3)
(-2 * 2 + 3x * 2) = 3(4x + -3)
(-4 + 6x) = 3(4x + -3)

Reorder the terms:
-4 + 6x = 3(-3 + 4x)
-4 + 6x = (-3 * 3 + 4x * 3)
-4 + 6x = (-9 + 12x)

Solving
-4 + 6x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-4 + 6x + -12x = -9 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-4 + -6x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -6x = -9 + 0
-4 + -6x = -9

Add '4' to each side of the equation.
-4 + 4 + -6x = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -9 + 4
-6x = -9 + 4

Combine like terms: -9 + 4 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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