6(-3x+8)=-5(3x-7)

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Solution for 6(-3x+8)=-5(3x-7) equation: 


Simplifying
6(-3x + 8) = -5(3x + -7)

Reorder the terms:
6(8 + -3x) = -5(3x + -7)
(8 * 6 + -3x * 6) = -5(3x + -7)
(48 + -18x) = -5(3x + -7)

Reorder the terms:
48 + -18x = -5(-7 + 3x)
48 + -18x = (-7 * -5 + 3x * -5)
48 + -18x = (35 + -15x)

Solving
48 + -18x = 35 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
48 + -18x + 15x = 35 + -15x + 15x

Combine like terms: -18x + 15x = -3x
48 + -3x = 35 + -15x + 15x

Combine like terms: -15x + 15x = 0
48 + -3x = 35 + 0
48 + -3x = 35

Add '-48' to each side of the equation.
48 + -48 + -3x = 35 + -48

Combine like terms: 48 + -48 = 0
0 + -3x = 35 + -48
-3x = 35 + -48

Combine like terms: 35 + -48 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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