7x+2x(4-3x)=15-6x(x-5)

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Solution for 7x+2x(4-3x)=15-6x(x-5) equation: 


Simplifying
7x + 2x(4 + -3x) = 15 + -6x(x + -5)
7x + (4 * 2x + -3x * 2x) = 15 + -6x(x + -5)
7x + (8x + -6x2) = 15 + -6x(x + -5)

Combine like terms: 7x + 8x = 15x
15x + -6x2 = 15 + -6x(x + -5)

Reorder the terms:
15x + -6x2 = 15 + -6x(-5 + x)
15x + -6x2 = 15 + (-5 * -6x + x * -6x)
15x + -6x2 = 15 + (30x + -6x2)

Add '6x2' to each side of the equation.
15x + -6x2 + 6x2 = 15 + 30x + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
15x + 0 = 15 + 30x + -6x2 + 6x2
15x = 15 + 30x + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
15x = 15 + 30x + 0
15x = 15 + 30x

Solving
15x = 15 + 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.
15x + -30x = 15 + 30x + -30x

Combine like terms: 15x + -30x = -15x
-15x = 15 + 30x + -30x

Combine like terms: 30x + -30x = 0
-15x = 15 + 0
-15x = 15

Divide each side by '-15'.
x = -1

Simplifying
x = -1

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