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

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


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

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

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

Solving
-1 + -15x = 28 + -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.
-1 + -15x + 12x = 28 + -12x + 12x

Combine like terms: -15x + 12x = -3x
-1 + -3x = 28 + -12x + 12x

Combine like terms: -12x + 12x = 0
-1 + -3x = 28 + 0
-1 + -3x = 28

Add '1' to each side of the equation.
-1 + 1 + -3x = 28 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 28 + 1
-3x = 28 + 1

Combine like terms: 28 + 1 = 29
-3x = 29

Divide each side by '-3'.
x = -9.666666667

Simplifying
x = -9.666666667

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