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

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


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

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

Combine like terms: -12x + 3x = -9x
20 + -9x = 6x + -3

Reorder the terms:
20 + -9x = -3 + 6x

Solving
20 + -9x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + -9x + -6x = -3 + 6x + -6x

Combine like terms: -9x + -6x = -15x
20 + -15x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -15x = -3 + 0
20 + -15x = -3

Add '-20' to each side of the equation.
20 + -20 + -15x = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = -3 + -20
-15x = -3 + -20

Combine like terms: -3 + -20 = -23
-15x = -23

Divide each side by '-15'.
x = 1.533333333

Simplifying
x = 1.533333333

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