3(5x-3)+8(-2+2x)=2(15x+5)+6

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Solution for 3(5x-3)+8(-2+2x)=2(15x+5)+6 equation:


Simplifying
3(5x + -3) + 8(-2 + 2x) = 2(15x + 5) + 6

Reorder the terms:
3(-3 + 5x) + 8(-2 + 2x) = 2(15x + 5) + 6
(-3 * 3 + 5x * 3) + 8(-2 + 2x) = 2(15x + 5) + 6
(-9 + 15x) + 8(-2 + 2x) = 2(15x + 5) + 6
-9 + 15x + (-2 * 8 + 2x * 8) = 2(15x + 5) + 6
-9 + 15x + (-16 + 16x) = 2(15x + 5) + 6

Reorder the terms:
-9 + -16 + 15x + 16x = 2(15x + 5) + 6

Combine like terms: -9 + -16 = -25
-25 + 15x + 16x = 2(15x + 5) + 6

Combine like terms: 15x + 16x = 31x
-25 + 31x = 2(15x + 5) + 6

Reorder the terms:
-25 + 31x = 2(5 + 15x) + 6
-25 + 31x = (5 * 2 + 15x * 2) + 6
-25 + 31x = (10 + 30x) + 6

Reorder the terms:
-25 + 31x = 10 + 6 + 30x

Combine like terms: 10 + 6 = 16
-25 + 31x = 16 + 30x

Solving
-25 + 31x = 16 + 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.
-25 + 31x + -30x = 16 + 30x + -30x

Combine like terms: 31x + -30x = 1x
-25 + 1x = 16 + 30x + -30x

Combine like terms: 30x + -30x = 0
-25 + 1x = 16 + 0
-25 + 1x = 16

Add '25' to each side of the equation.
-25 + 25 + 1x = 16 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = 16 + 25
1x = 16 + 25

Combine like terms: 16 + 25 = 41
1x = 41

Divide each side by '1'.
x = 41

Simplifying
x = 41

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