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

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


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

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

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

Reorder the terms:
2 + -6x = 2(-4 + x) + -5
2 + -6x = (-4 * 2 + x * 2) + -5
2 + -6x = (-8 + 2x) + -5

Reorder the terms:
2 + -6x = -8 + -5 + 2x

Combine like terms: -8 + -5 = -13
2 + -6x = -13 + 2x

Solving
2 + -6x = -13 + 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.
2 + -6x + -2x = -13 + 2x + -2x

Combine like terms: -6x + -2x = -8x
2 + -8x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -8x = -13 + 0
2 + -8x = -13

Add '-2' to each side of the equation.
2 + -2 + -8x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -13 + -2
-8x = -13 + -2

Combine like terms: -13 + -2 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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