6x+7=3+2(x-4)

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Solution for 6x+7=3+2(x-4) equation:


Simplifying
6x + 7 = 3 + 2(x + -4)

Reorder the terms:
7 + 6x = 3 + 2(x + -4)

Reorder the terms:
7 + 6x = 3 + 2(-4 + x)
7 + 6x = 3 + (-4 * 2 + x * 2)
7 + 6x = 3 + (-8 + 2x)

Combine like terms: 3 + -8 = -5
7 + 6x = -5 + 2x

Solving
7 + 6x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 6x + -2x = -5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
7 + 4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 4x = -5 + 0
7 + 4x = -5

Add '-7' to each side of the equation.
7 + -7 + 4x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -5 + -7
4x = -5 + -7

Combine like terms: -5 + -7 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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