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

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


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

Reorder the terms:
2(4 + 3x) = 5 + -1(4x + 3)
(4 * 2 + 3x * 2) = 5 + -1(4x + 3)
(8 + 6x) = 5 + -1(4x + 3)

Reorder the terms:
8 + 6x = 5 + -1(3 + 4x)
8 + 6x = 5 + (3 * -1 + 4x * -1)
8 + 6x = 5 + (-3 + -4x)

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

Solving
8 + 6x = 2 + -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.
8 + 6x + 4x = 2 + -4x + 4x

Combine like terms: 6x + 4x = 10x
8 + 10x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 10x = 2 + 0
8 + 10x = 2

Add '-8' to each side of the equation.
8 + -8 + 10x = 2 + -8

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

Combine like terms: 2 + -8 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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