6x+7=1-4x

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Solution for 6x+7=1-4x equation:


Simplifying
6x + 7 = 1 + -4x

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

Solving
7 + 6x = 1 + -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.
7 + 6x + 4x = 1 + -4x + 4x

Combine like terms: 6x + 4x = 10x
7 + 10x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 10x = 1 + 0
7 + 10x = 1

Add '-7' to each side of the equation.
7 + -7 + 10x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 1 + -7
10x = 1 + -7

Combine like terms: 1 + -7 = -6
10x = -6

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

Simplifying
x = -0.6

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