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

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


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

Reorder the terms:
3(-4 + x) + 5x = 2(x + -1) + 3
(-4 * 3 + x * 3) + 5x = 2(x + -1) + 3
(-12 + 3x) + 5x = 2(x + -1) + 3

Combine like terms: 3x + 5x = 8x
-12 + 8x = 2(x + -1) + 3

Reorder the terms:
-12 + 8x = 2(-1 + x) + 3
-12 + 8x = (-1 * 2 + x * 2) + 3
-12 + 8x = (-2 + 2x) + 3

Reorder the terms:
-12 + 8x = -2 + 3 + 2x

Combine like terms: -2 + 3 = 1
-12 + 8x = 1 + 2x

Solving
-12 + 8x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 8x + -2x = 1 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-12 + 6x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 6x = 1 + 0
-12 + 6x = 1

Add '12' to each side of the equation.
-12 + 12 + 6x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 1 + 12
6x = 1 + 12

Combine like terms: 1 + 12 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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