x+3x-13=7(x-9)

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Solution for x+3x-13=7(x-9) equation:


Simplifying
x + 3x + -13 = 7(x + -9)

Reorder the terms:
-13 + x + 3x = 7(x + -9)

Combine like terms: x + 3x = 4x
-13 + 4x = 7(x + -9)

Reorder the terms:
-13 + 4x = 7(-9 + x)
-13 + 4x = (-9 * 7 + x * 7)
-13 + 4x = (-63 + 7x)

Solving
-13 + 4x = -63 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 4x + -7x = -63 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-13 + -3x = -63 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -3x = -63 + 0
-13 + -3x = -63

Add '13' to each side of the equation.
-13 + 13 + -3x = -63 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -63 + 13
-3x = -63 + 13

Combine like terms: -63 + 13 = -50
-3x = -50

Divide each side by '-3'.
x = 16.66666667

Simplifying
x = 16.66666667

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