10(4x+2)=15(3x-1)

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Solution for 10(4x+2)=15(3x-1) equation:


Simplifying
10(4x + 2) = 15(3x + -1)

Reorder the terms:
10(2 + 4x) = 15(3x + -1)
(2 * 10 + 4x * 10) = 15(3x + -1)
(20 + 40x) = 15(3x + -1)

Reorder the terms:
20 + 40x = 15(-1 + 3x)
20 + 40x = (-1 * 15 + 3x * 15)
20 + 40x = (-15 + 45x)

Solving
20 + 40x = -15 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
20 + 40x + -45x = -15 + 45x + -45x

Combine like terms: 40x + -45x = -5x
20 + -5x = -15 + 45x + -45x

Combine like terms: 45x + -45x = 0
20 + -5x = -15 + 0
20 + -5x = -15

Add '-20' to each side of the equation.
20 + -20 + -5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -15 + -20
-5x = -15 + -20

Combine like terms: -15 + -20 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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