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 = 70
70 + -21x = 13 + -15(2x + -5)

Reorder the terms:
70 + -21x = 13 + -15(-5 + 2x)
70 + -21x = 13 + (-5 * -15 + 2x * -15)
70 + -21x = 13 + (75 + -30x)

Combine like terms: 13 + 75 = 88
70 + -21x = 88 + -30x

Solving
70 + -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.
70 + -21x + 30x = 88 + -30x + 30x

Combine like terms: -21x + 30x = 9x
70 + 9x = 88 + -30x + 30x

Combine like terms: -30x + 30x = 0
70 + 9x = 88 + 0
70 + 9x = 88

Add '-70' to each side of the equation.
70 + -70 + 9x = 88 + -70

Combine like terms: 70 + -70 = 0
0 + 9x = 88 + -70
9x = 88 + -70

Combine like terms: 88 + -70 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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