15(2x-1)=21(3x-7)

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Solution for 15(2x-1)=21(3x-7) equation:


Simplifying
15(2x + -1) = 21(3x + -7)

Reorder the terms:
15(-1 + 2x) = 21(3x + -7)
(-1 * 15 + 2x * 15) = 21(3x + -7)
(-15 + 30x) = 21(3x + -7)

Reorder the terms:
-15 + 30x = 21(-7 + 3x)
-15 + 30x = (-7 * 21 + 3x * 21)
-15 + 30x = (-147 + 63x)

Solving
-15 + 30x = -147 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
-15 + 30x + -63x = -147 + 63x + -63x

Combine like terms: 30x + -63x = -33x
-15 + -33x = -147 + 63x + -63x

Combine like terms: 63x + -63x = 0
-15 + -33x = -147 + 0
-15 + -33x = -147

Add '15' to each side of the equation.
-15 + 15 + -33x = -147 + 15

Combine like terms: -15 + 15 = 0
0 + -33x = -147 + 15
-33x = -147 + 15

Combine like terms: -147 + 15 = -132
-33x = -132

Divide each side by '-33'.
x = 4

Simplifying
x = 4

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