6x+7=4(x-2)

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Solution for 6x+7=4(x-2) equation:


Simplifying
6x + 7 = 4(x + -2)

Reorder the terms:
7 + 6x = 4(x + -2)

Reorder the terms:
7 + 6x = 4(-2 + x)
7 + 6x = (-2 * 4 + x * 4)
7 + 6x = (-8 + 4x)

Solving
7 + 6x = -8 + 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 = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
7 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 2x = -8 + 0
7 + 2x = -8

Add '-7' to each side of the equation.
7 + -7 + 2x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -8 + -7
2x = -8 + -7

Combine like terms: -8 + -7 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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