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

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


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

Reorder the terms:
5 + -3(-2 + 5x) = 4(7 + -3x) + 1
5 + (-2 * -3 + 5x * -3) = 4(7 + -3x) + 1
5 + (6 + -15x) = 4(7 + -3x) + 1

Combine like terms: 5 + 6 = 11
11 + -15x = 4(7 + -3x) + 1
11 + -15x = (7 * 4 + -3x * 4) + 1
11 + -15x = (28 + -12x) + 1

Reorder the terms:
11 + -15x = 28 + 1 + -12x

Combine like terms: 28 + 1 = 29
11 + -15x = 29 + -12x

Solving
11 + -15x = 29 + -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.
11 + -15x + 12x = 29 + -12x + 12x

Combine like terms: -15x + 12x = -3x
11 + -3x = 29 + -12x + 12x

Combine like terms: -12x + 12x = 0
11 + -3x = 29 + 0
11 + -3x = 29

Add '-11' to each side of the equation.
11 + -11 + -3x = 29 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 29 + -11
-3x = 29 + -11

Combine like terms: 29 + -11 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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