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

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


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

Reorder the terms:
2x + -7(1 + 3x) = 5(5 + -3x)
2x + (1 * -7 + 3x * -7) = 5(5 + -3x)
2x + (-7 + -21x) = 5(5 + -3x)

Reorder the terms:
-7 + 2x + -21x = 5(5 + -3x)

Combine like terms: 2x + -21x = -19x
-7 + -19x = 5(5 + -3x)
-7 + -19x = (5 * 5 + -3x * 5)
-7 + -19x = (25 + -15x)

Solving
-7 + -19x = 25 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-7 + -19x + 15x = 25 + -15x + 15x

Combine like terms: -19x + 15x = -4x
-7 + -4x = 25 + -15x + 15x

Combine like terms: -15x + 15x = 0
-7 + -4x = 25 + 0
-7 + -4x = 25

Add '7' to each side of the equation.
-7 + 7 + -4x = 25 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 25 + 7
-4x = 25 + 7

Combine like terms: 25 + 7 = 32
-4x = 32

Divide each side by '-4'.
x = -8

Simplifying
x = -8

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