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

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


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

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

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

Combine like terms: -6 + 4 = -2
-2 + 2x = 5(x + 1) + 2

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

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

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

Solving
-2 + 2x = 7 + 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.
-2 + 2x + -5x = 7 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2 + -3x = 7 + 0
-2 + -3x = 7

Add '2' to each side of the equation.
-2 + 2 + -3x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 7 + 2
-3x = 7 + 2

Combine like terms: 7 + 2 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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