3(x-4)+6=5(x+1)-13

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Solution for 3(x-4)+6=5(x+1)-13 equation:


Simplifying
3(x + -4) + 6 = 5(x + 1) + -13

Reorder the terms:
3(-4 + x) + 6 = 5(x + 1) + -13
(-4 * 3 + x * 3) + 6 = 5(x + 1) + -13
(-12 + 3x) + 6 = 5(x + 1) + -13

Reorder the terms:
-12 + 6 + 3x = 5(x + 1) + -13

Combine like terms: -12 + 6 = -6
-6 + 3x = 5(x + 1) + -13

Reorder the terms:
-6 + 3x = 5(1 + x) + -13
-6 + 3x = (1 * 5 + x * 5) + -13
-6 + 3x = (5 + 5x) + -13

Reorder the terms:
-6 + 3x = 5 + -13 + 5x

Combine like terms: 5 + -13 = -8
-6 + 3x = -8 + 5x

Solving
-6 + 3x = -8 + 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.
-6 + 3x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-6 + -2x = -8 + 0
-6 + -2x = -8

Add '6' to each side of the equation.
-6 + 6 + -2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -8 + 6
-2x = -8 + 6

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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