-3.5-5(2.5x-3x^2)=-10.5-3(4.5x-5x^2)

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Solution for -3.5-5(2.5x-3x^2)=-10.5-3(4.5x-5x^2) equation: 


Simplifying
-3.5 + -5(2.5x + -3x2) = -10.5 + -3(4.5x + -5x2)
-3.5 + (2.5x * -5 + -3x2 * -5) = -10.5 + -3(4.5x + -5x2)
-3.5 + (-12.5x + 15x2) = -10.5 + -3(4.5x + -5x2)
-3.5 + -12.5x + 15x2 = -10.5 + (4.5x * -3 + -5x2 * -3)
-3.5 + -12.5x + 15x2 = -10.5 + (-13.5x + 15x2)

Add '-15x2' to each side of the equation.
-3.5 + -12.5x + 15x2 + -15x2 = -10.5 + -13.5x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-3.5 + -12.5x + 0 = -10.5 + -13.5x + 15x2 + -15x2
-3.5 + -12.5x = -10.5 + -13.5x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-3.5 + -12.5x = -10.5 + -13.5x + 0
-3.5 + -12.5x = -10.5 + -13.5x

Solving
-3.5 + -12.5x = -10.5 + -13.5x

Solving for variable 'x'.

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

Add '13.5x' to each side of the equation.
-3.5 + -12.5x + 13.5x = -10.5 + -13.5x + 13.5x

Combine like terms: -12.5x + 13.5x = 1x
-3.5 + 1x = -10.5 + -13.5x + 13.5x

Combine like terms: -13.5x + 13.5x = 0.0
-3.5 + 1x = -10.5 + 0.0
-3.5 + 1x = -10.5

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 1x = -10.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 1x = -10.5 + 3.5
1x = -10.5 + 3.5

Combine like terms: -10.5 + 3.5 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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