3x+5=2(4x+2)-7

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Solution for 3x+5=2(4x+2)-7 equation:


Simplifying
3x + 5 = 2(4x + 2) + -7

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

Reorder the terms:
5 + 3x = 2(2 + 4x) + -7
5 + 3x = (2 * 2 + 4x * 2) + -7
5 + 3x = (4 + 8x) + -7

Reorder the terms:
5 + 3x = 4 + -7 + 8x

Combine like terms: 4 + -7 = -3
5 + 3x = -3 + 8x

Solving
5 + 3x = -3 + 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.
5 + 3x + -8x = -3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
5 + -5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -5x = -3 + 0
5 + -5x = -3

Add '-5' to each side of the equation.
5 + -5 + -5x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -3 + -5
-5x = -3 + -5

Combine like terms: -3 + -5 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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