3(2x-5)-2(4x+1)=5(x+3)-2

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Solution for 3(2x-5)-2(4x+1)=5(x+3)-2 equation:


Simplifying
3(2x + -5) + -2(4x + 1) = 5(x + 3) + -2

Reorder the terms:
3(-5 + 2x) + -2(4x + 1) = 5(x + 3) + -2
(-5 * 3 + 2x * 3) + -2(4x + 1) = 5(x + 3) + -2
(-15 + 6x) + -2(4x + 1) = 5(x + 3) + -2

Reorder the terms:
-15 + 6x + -2(1 + 4x) = 5(x + 3) + -2
-15 + 6x + (1 * -2 + 4x * -2) = 5(x + 3) + -2
-15 + 6x + (-2 + -8x) = 5(x + 3) + -2

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

Combine like terms: -15 + -2 = -17
-17 + 6x + -8x = 5(x + 3) + -2

Combine like terms: 6x + -8x = -2x
-17 + -2x = 5(x + 3) + -2

Reorder the terms:
-17 + -2x = 5(3 + x) + -2
-17 + -2x = (3 * 5 + x * 5) + -2
-17 + -2x = (15 + 5x) + -2

Reorder the terms:
-17 + -2x = 15 + -2 + 5x

Combine like terms: 15 + -2 = 13
-17 + -2x = 13 + 5x

Solving
-17 + -2x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-17 + -2x + -5x = 13 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-17 + -7x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + -7x = 13 + 0
-17 + -7x = 13

Add '17' to each side of the equation.
-17 + 17 + -7x = 13 + 17

Combine like terms: -17 + 17 = 0
0 + -7x = 13 + 17
-7x = 13 + 17

Combine like terms: 13 + 17 = 30
-7x = 30

Divide each side by '-7'.
x = -4.285714286

Simplifying
x = -4.285714286

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