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

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


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

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

Reorder the terms:
15 + -5 + 5x + 4x = 2x + -4

Combine like terms: 15 + -5 = 10
10 + 5x + 4x = 2x + -4

Combine like terms: 5x + 4x = 9x
10 + 9x = 2x + -4

Reorder the terms:
10 + 9x = -4 + 2x

Solving
10 + 9x = -4 + 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.
10 + 9x + -2x = -4 + 2x + -2x

Combine like terms: 9x + -2x = 7x
10 + 7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 7x = -4 + 0
10 + 7x = -4

Add '-10' to each side of the equation.
10 + -10 + 7x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = -4 + -10
7x = -4 + -10

Combine like terms: -4 + -10 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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