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

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


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

Multiply 2 * 4
8x + -5 = 2 + 3(x + -3)

Reorder the terms:
-5 + 8x = 2 + 3(x + -3)

Reorder the terms:
-5 + 8x = 2 + 3(-3 + x)
-5 + 8x = 2 + (-3 * 3 + x * 3)
-5 + 8x = 2 + (-9 + 3x)

Combine like terms: 2 + -9 = -7
-5 + 8x = -7 + 3x

Solving
-5 + 8x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 8x + -3x = -7 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-5 + 5x = -7 + 3x + -3x

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

Add '5' to each side of the equation.
-5 + 5 + 5x = -7 + 5

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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