7-21(x+3)=13-15(2x-5)

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Solution for 7-21(x+3)=13-15(2x-5) equation:


Simplifying
7 + -21(x + 3) = 13 + -15(2x + -5)

Reorder the terms:
7 + -21(3 + x) = 13 + -15(2x + -5)
7 + (3 * -21 + x * -21) = 13 + -15(2x + -5)
7 + (-63 + -21x) = 13 + -15(2x + -5)

Combine like terms: 7 + -63 = -56
-56 + -21x = 13 + -15(2x + -5)

Reorder the terms:
-56 + -21x = 13 + -15(-5 + 2x)
-56 + -21x = 13 + (-5 * -15 + 2x * -15)
-56 + -21x = 13 + (75 + -30x)

Combine like terms: 13 + 75 = 88
-56 + -21x = 88 + -30x

Solving
-56 + -21x = 88 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-56 + -21x + 30x = 88 + -30x + 30x

Combine like terms: -21x + 30x = 9x
-56 + 9x = 88 + -30x + 30x

Combine like terms: -30x + 30x = 0
-56 + 9x = 88 + 0
-56 + 9x = 88

Add '56' to each side of the equation.
-56 + 56 + 9x = 88 + 56

Combine like terms: -56 + 56 = 0
0 + 9x = 88 + 56
9x = 88 + 56

Combine like terms: 88 + 56 = 144
9x = 144

Divide each side by '9'.
x = 16

Simplifying
x = 16

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