5(3x-5)+2(-4+8x)=6(5x-5)-6

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Solution for 5(3x-5)+2(-4+8x)=6(5x-5)-6 equation:


Simplifying
5(3x + -5) + 2(-4 + 8x) = 6(5x + -5) + -6

Reorder the terms:
5(-5 + 3x) + 2(-4 + 8x) = 6(5x + -5) + -6
(-5 * 5 + 3x * 5) + 2(-4 + 8x) = 6(5x + -5) + -6
(-25 + 15x) + 2(-4 + 8x) = 6(5x + -5) + -6
-25 + 15x + (-4 * 2 + 8x * 2) = 6(5x + -5) + -6
-25 + 15x + (-8 + 16x) = 6(5x + -5) + -6

Reorder the terms:
-25 + -8 + 15x + 16x = 6(5x + -5) + -6

Combine like terms: -25 + -8 = -33
-33 + 15x + 16x = 6(5x + -5) + -6

Combine like terms: 15x + 16x = 31x
-33 + 31x = 6(5x + -5) + -6

Reorder the terms:
-33 + 31x = 6(-5 + 5x) + -6
-33 + 31x = (-5 * 6 + 5x * 6) + -6
-33 + 31x = (-30 + 30x) + -6

Reorder the terms:
-33 + 31x = -30 + -6 + 30x

Combine like terms: -30 + -6 = -36
-33 + 31x = -36 + 30x

Solving
-33 + 31x = -36 + 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.
-33 + 31x + -30x = -36 + 30x + -30x

Combine like terms: 31x + -30x = 1x
-33 + 1x = -36 + 30x + -30x

Combine like terms: 30x + -30x = 0
-33 + 1x = -36 + 0
-33 + 1x = -36

Add '33' to each side of the equation.
-33 + 33 + 1x = -36 + 33

Combine like terms: -33 + 33 = 0
0 + 1x = -36 + 33
1x = -36 + 33

Combine like terms: -36 + 33 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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