6x-7+4(x+1)=6x-4

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


Simplifying
6x + -7 + 4(x + 1) = 6x + -4

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

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

Combine like terms: -7 + 4 = -3
-3 + 6x + 4x = 6x + -4

Combine like terms: 6x + 4x = 10x
-3 + 10x = 6x + -4

Reorder the terms:
-3 + 10x = -4 + 6x

Solving
-3 + 10x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 10x + -6x = -4 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-3 + 4x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 4x = -4 + 0
-3 + 4x = -4

Add '3' to each side of the equation.
-3 + 3 + 4x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -4 + 3
4x = -4 + 3

Combine like terms: -4 + 3 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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