5(3x-1)+8(-5+2x)=5(6x+5)-6

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Solution for 5(3x-1)+8(-5+2x)=5(6x+5)-6 equation:


Simplifying
5(3x + -1) + 8(-5 + 2x) = 5(6x + 5) + -6

Reorder the terms:
5(-1 + 3x) + 8(-5 + 2x) = 5(6x + 5) + -6
(-1 * 5 + 3x * 5) + 8(-5 + 2x) = 5(6x + 5) + -6
(-5 + 15x) + 8(-5 + 2x) = 5(6x + 5) + -6
-5 + 15x + (-5 * 8 + 2x * 8) = 5(6x + 5) + -6
-5 + 15x + (-40 + 16x) = 5(6x + 5) + -6

Reorder the terms:
-5 + -40 + 15x + 16x = 5(6x + 5) + -6

Combine like terms: -5 + -40 = -45
-45 + 15x + 16x = 5(6x + 5) + -6

Combine like terms: 15x + 16x = 31x
-45 + 31x = 5(6x + 5) + -6

Reorder the terms:
-45 + 31x = 5(5 + 6x) + -6
-45 + 31x = (5 * 5 + 6x * 5) + -6
-45 + 31x = (25 + 30x) + -6

Reorder the terms:
-45 + 31x = 25 + -6 + 30x

Combine like terms: 25 + -6 = 19
-45 + 31x = 19 + 30x

Solving
-45 + 31x = 19 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-45 + 31x + -30x = 19 + 30x + -30x

Combine like terms: 31x + -30x = 1x
-45 + 1x = 19 + 30x + -30x

Combine like terms: 30x + -30x = 0
-45 + 1x = 19 + 0
-45 + 1x = 19

Add '45' to each side of the equation.
-45 + 45 + 1x = 19 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = 19 + 45
1x = 19 + 45

Combine like terms: 19 + 45 = 64
1x = 64

Divide each side by '1'.
x = 64

Simplifying
x = 64

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