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)
(5 * 2 + 3x * 2) + -7 = 3(4x + -3)
(10 + 6x) + -7 = 3(4x + -3)

Reorder the terms:
10 + -7 + 6x = 3(4x + -3)

Combine like terms: 10 + -7 = 3
3 + 6x = 3(4x + -3)

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

Solving
3 + 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.
3 + 6x + -12x = -9 + 12x + -12x

Combine like terms: 6x + -12x = -6x
3 + -6x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -6x = -9 + 0
3 + -6x = -9

Add '-3' to each side of the equation.
3 + -3 + -6x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -9 + -3
-6x = -9 + -3

Combine like terms: -9 + -3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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