-2(3x-5)=7-5(2x+3)

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


Simplifying
-2(3x + -5) = 7 + -5(2x + 3)

Reorder the terms:
-2(-5 + 3x) = 7 + -5(2x + 3)
(-5 * -2 + 3x * -2) = 7 + -5(2x + 3)
(10 + -6x) = 7 + -5(2x + 3)

Reorder the terms:
10 + -6x = 7 + -5(3 + 2x)
10 + -6x = 7 + (3 * -5 + 2x * -5)
10 + -6x = 7 + (-15 + -10x)

Combine like terms: 7 + -15 = -8
10 + -6x = -8 + -10x

Solving
10 + -6x = -8 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
10 + -6x + 10x = -8 + -10x + 10x

Combine like terms: -6x + 10x = 4x
10 + 4x = -8 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 4x = -8 + 0
10 + 4x = -8

Add '-10' to each side of the equation.
10 + -10 + 4x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -8 + -10
4x = -8 + -10

Combine like terms: -8 + -10 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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