3-(2x+5)=5+2(4x-6)

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Solution for 3-(2x+5)=5+2(4x-6) equation:


Simplifying
3 + -1(2x + 5) = 5 + 2(4x + -6)

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

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

Reorder the terms:
-2 + -2x = 5 + 2(-6 + 4x)
-2 + -2x = 5 + (-6 * 2 + 4x * 2)
-2 + -2x = 5 + (-12 + 8x)

Combine like terms: 5 + -12 = -7
-2 + -2x = -7 + 8x

Solving
-2 + -2x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + -2x + -8x = -7 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-2 + -10x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -10x = -7 + 0
-2 + -10x = -7

Add '2' to each side of the equation.
-2 + 2 + -10x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = -7 + 2
-10x = -7 + 2

Combine like terms: -7 + 2 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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