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

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


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

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

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

Combine like terms: 5x + -6x = -1x
-3 + -1x = 4(x + 2) + -3

Reorder the terms:
-3 + -1x = 4(2 + x) + -3
-3 + -1x = (2 * 4 + x * 4) + -3
-3 + -1x = (8 + 4x) + -3

Reorder the terms:
-3 + -1x = 8 + -3 + 4x

Combine like terms: 8 + -3 = 5
-3 + -1x = 5 + 4x

Solving
-3 + -1x = 5 + 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.
-3 + -1x + -4x = 5 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-3 + -5x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -5x = 5 + 0
-3 + -5x = 5

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

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

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

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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