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

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


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

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

Combine like terms: 3 + -4 = -1
-1 + 8x = 3(x + 5) + -2

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

Reorder the terms:
-1 + 8x = 15 + -2 + 3x

Combine like terms: 15 + -2 = 13
-1 + 8x = 13 + 3x

Solving
-1 + 8x = 13 + 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.
-1 + 8x + -3x = 13 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-1 + 5x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 5x = 13 + 0
-1 + 5x = 13

Add '1' to each side of the equation.
-1 + 1 + 5x = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 13 + 1
5x = 13 + 1

Combine like terms: 13 + 1 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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