5(x+3)=4(x-2)+6

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Solution for 5(x+3)=4(x-2)+6 equation:


Simplifying
5(x + 3) = 4(x + -2) + 6

Reorder the terms:
5(3 + x) = 4(x + -2) + 6
(3 * 5 + x * 5) = 4(x + -2) + 6
(15 + 5x) = 4(x + -2) + 6

Reorder the terms:
15 + 5x = 4(-2 + x) + 6
15 + 5x = (-2 * 4 + x * 4) + 6
15 + 5x = (-8 + 4x) + 6

Reorder the terms:
15 + 5x = -8 + 6 + 4x

Combine like terms: -8 + 6 = -2
15 + 5x = -2 + 4x

Solving
15 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 5x + -4x = -2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
15 + 1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 1x = -2 + 0
15 + 1x = -2

Add '-15' to each side of the equation.
15 + -15 + 1x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -2 + -15
1x = -2 + -15

Combine like terms: -2 + -15 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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