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

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


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

Reorder the terms:
-2 + -4(1 + 2x) = 5(3x + -2)
-2 + (1 * -4 + 2x * -4) = 5(3x + -2)
-2 + (-4 + -8x) = 5(3x + -2)

Combine like terms: -2 + -4 = -6
-6 + -8x = 5(3x + -2)

Reorder the terms:
-6 + -8x = 5(-2 + 3x)
-6 + -8x = (-2 * 5 + 3x * 5)
-6 + -8x = (-10 + 15x)

Solving
-6 + -8x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + -8x + -15x = -10 + 15x + -15x

Combine like terms: -8x + -15x = -23x
-6 + -23x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -23x = -10 + 0
-6 + -23x = -10

Add '6' to each side of the equation.
-6 + 6 + -23x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -23x = -10 + 6
-23x = -10 + 6

Combine like terms: -10 + 6 = -4
-23x = -4

Divide each side by '-23'.
x = 0.1739130435

Simplifying
x = 0.1739130435

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