3(2x+5)=4x+7-x+1

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Solution for 3(2x+5)=4x+7-x+1 equation:


Simplifying
3(2x + 5) = 4x + 7 + -1x + 1

Reorder the terms:
3(5 + 2x) = 4x + 7 + -1x + 1
(5 * 3 + 2x * 3) = 4x + 7 + -1x + 1
(15 + 6x) = 4x + 7 + -1x + 1

Reorder the terms:
15 + 6x = 7 + 1 + 4x + -1x

Combine like terms: 7 + 1 = 8
15 + 6x = 8 + 4x + -1x

Combine like terms: 4x + -1x = 3x
15 + 6x = 8 + 3x

Solving
15 + 6x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 6x + -3x = 8 + 3x + -3x

Combine like terms: 6x + -3x = 3x
15 + 3x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 3x = 8 + 0
15 + 3x = 8

Add '-15' to each side of the equation.
15 + -15 + 3x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 8 + -15
3x = 8 + -15

Combine like terms: 8 + -15 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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