1.5(6x+10)=7(x-5)

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Solution for 1.5(6x+10)=7(x-5) equation:


Simplifying
1.5(6x + 10) = 7(x + -5)

Reorder the terms:
1.5(10 + 6x) = 7(x + -5)
(10 * 1.5 + 6x * 1.5) = 7(x + -5)
(15 + 9x) = 7(x + -5)

Reorder the terms:
15 + 9x = 7(-5 + x)
15 + 9x = (-5 * 7 + x * 7)
15 + 9x = (-35 + 7x)

Solving
15 + 9x = -35 + 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.
15 + 9x + -7x = -35 + 7x + -7x

Combine like terms: 9x + -7x = 2x
15 + 2x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 2x = -35 + 0
15 + 2x = -35

Add '-15' to each side of the equation.
15 + -15 + 2x = -35 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -35 + -15
2x = -35 + -15

Combine like terms: -35 + -15 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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