7-5(2-3x)=4(3x+1)

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Solution for 7-5(2-3x)=4(3x+1) equation: 


Simplifying
7 + -5(2 + -3x) = 4(3x + 1)
7 + (2 * -5 + -3x * -5) = 4(3x + 1)
7 + (-10 + 15x) = 4(3x + 1)

Combine like terms: 7 + -10 = -3
-3 + 15x = 4(3x + 1)

Reorder the terms:
-3 + 15x = 4(1 + 3x)
-3 + 15x = (1 * 4 + 3x * 4)
-3 + 15x = (4 + 12x)

Solving
-3 + 15x = 4 + 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 + 15x + -12x = 4 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-3 + 3x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + 3x = 4 + 0
-3 + 3x = 4

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

Combine like terms: -3 + 3 = 0
0 + 3x = 4 + 3
3x = 4 + 3

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

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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