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

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


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

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

Combine like terms: 4 + 3 = 7
7 + -6x = -5x + -2(2x + 3)

Reorder the terms:
7 + -6x = -5x + -2(3 + 2x)
7 + -6x = -5x + (3 * -2 + 2x * -2)
7 + -6x = -5x + (-6 + -4x)

Reorder the terms:
7 + -6x = -6 + -5x + -4x

Combine like terms: -5x + -4x = -9x
7 + -6x = -6 + -9x

Solving
7 + -6x = -6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
7 + -6x + 9x = -6 + -9x + 9x

Combine like terms: -6x + 9x = 3x
7 + 3x = -6 + -9x + 9x

Combine like terms: -9x + 9x = 0
7 + 3x = -6 + 0
7 + 3x = -6

Add '-7' to each side of the equation.
7 + -7 + 3x = -6 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -6 + -7
3x = -6 + -7

Combine like terms: -6 + -7 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

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