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

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


Simplifying
-4(3x + -5) + 6 = 5 + -1(2x + -5)

Reorder the terms:
-4(-5 + 3x) + 6 = 5 + -1(2x + -5)
(-5 * -4 + 3x * -4) + 6 = 5 + -1(2x + -5)
(20 + -12x) + 6 = 5 + -1(2x + -5)

Reorder the terms:
20 + 6 + -12x = 5 + -1(2x + -5)

Combine like terms: 20 + 6 = 26
26 + -12x = 5 + -1(2x + -5)

Reorder the terms:
26 + -12x = 5 + -1(-5 + 2x)
26 + -12x = 5 + (-5 * -1 + 2x * -1)
26 + -12x = 5 + (5 + -2x)

Combine like terms: 5 + 5 = 10
26 + -12x = 10 + -2x

Solving
26 + -12x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
26 + -12x + 2x = 10 + -2x + 2x

Combine like terms: -12x + 2x = -10x
26 + -10x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
26 + -10x = 10 + 0
26 + -10x = 10

Add '-26' to each side of the equation.
26 + -26 + -10x = 10 + -26

Combine like terms: 26 + -26 = 0
0 + -10x = 10 + -26
-10x = 10 + -26

Combine like terms: 10 + -26 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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