5(3-2x)+25=4x-6(10-3x)

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Solution for 5(3-2x)+25=4x-6(10-3x) equation: 


Simplifying
5(3 + -2x) + 25 = 4x + -6(10 + -3x)
(3 * 5 + -2x * 5) + 25 = 4x + -6(10 + -3x)
(15 + -10x) + 25 = 4x + -6(10 + -3x)

Reorder the terms:
15 + 25 + -10x = 4x + -6(10 + -3x)

Combine like terms: 15 + 25 = 40
40 + -10x = 4x + -6(10 + -3x)
40 + -10x = 4x + (10 * -6 + -3x * -6)
40 + -10x = 4x + (-60 + 18x)

Reorder the terms:
40 + -10x = -60 + 4x + 18x

Combine like terms: 4x + 18x = 22x
40 + -10x = -60 + 22x

Solving
40 + -10x = -60 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
40 + -10x + -22x = -60 + 22x + -22x

Combine like terms: -10x + -22x = -32x
40 + -32x = -60 + 22x + -22x

Combine like terms: 22x + -22x = 0
40 + -32x = -60 + 0
40 + -32x = -60

Add '-40' to each side of the equation.
40 + -40 + -32x = -60 + -40

Combine like terms: 40 + -40 = 0
0 + -32x = -60 + -40
-32x = -60 + -40

Combine like terms: -60 + -40 = -100
-32x = -100

Divide each side by '-32'.
x = 3.125

Simplifying
x = 3.125

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