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

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


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

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

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

Reorder the terms:
-3 + -4 + 3x + 8x = 5(x + 5) + -2(x + -3)

Combine like terms: -3 + -4 = -7
-7 + 3x + 8x = 5(x + 5) + -2(x + -3)

Combine like terms: 3x + 8x = 11x
-7 + 11x = 5(x + 5) + -2(x + -3)

Reorder the terms:
-7 + 11x = 5(5 + x) + -2(x + -3)
-7 + 11x = (5 * 5 + x * 5) + -2(x + -3)
-7 + 11x = (25 + 5x) + -2(x + -3)

Reorder the terms:
-7 + 11x = 25 + 5x + -2(-3 + x)
-7 + 11x = 25 + 5x + (-3 * -2 + x * -2)
-7 + 11x = 25 + 5x + (6 + -2x)

Reorder the terms:
-7 + 11x = 25 + 6 + 5x + -2x

Combine like terms: 25 + 6 = 31
-7 + 11x = 31 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-7 + 11x = 31 + 3x

Solving
-7 + 11x = 31 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 11x + -3x = 31 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-7 + 8x = 31 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 8x = 31 + 0
-7 + 8x = 31

Add '7' to each side of the equation.
-7 + 7 + 8x = 31 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 31 + 7
8x = 31 + 7

Combine like terms: 31 + 7 = 38
8x = 38

Divide each side by '8'.
x = 4.75

Simplifying
x = 4.75

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