5(6x-7)=3(4x+8)-5

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Solution for 5(6x-7)=3(4x+8)-5 equation:


Simplifying
5(6x + -7) = 3(4x + 8) + -5

Reorder the terms:
5(-7 + 6x) = 3(4x + 8) + -5
(-7 * 5 + 6x * 5) = 3(4x + 8) + -5
(-35 + 30x) = 3(4x + 8) + -5

Reorder the terms:
-35 + 30x = 3(8 + 4x) + -5
-35 + 30x = (8 * 3 + 4x * 3) + -5
-35 + 30x = (24 + 12x) + -5

Reorder the terms:
-35 + 30x = 24 + -5 + 12x

Combine like terms: 24 + -5 = 19
-35 + 30x = 19 + 12x

Solving
-35 + 30x = 19 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-35 + 30x + -12x = 19 + 12x + -12x

Combine like terms: 30x + -12x = 18x
-35 + 18x = 19 + 12x + -12x

Combine like terms: 12x + -12x = 0
-35 + 18x = 19 + 0
-35 + 18x = 19

Add '35' to each side of the equation.
-35 + 35 + 18x = 19 + 35

Combine like terms: -35 + 35 = 0
0 + 18x = 19 + 35
18x = 19 + 35

Combine like terms: 19 + 35 = 54
18x = 54

Divide each side by '18'.
x = 3

Simplifying
x = 3

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