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

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


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

Reorder the terms:
2 + 7x = 4(-3 + x) + 5
2 + 7x = (-3 * 4 + x * 4) + 5
2 + 7x = (-12 + 4x) + 5

Reorder the terms:
2 + 7x = -12 + 5 + 4x

Combine like terms: -12 + 5 = -7
2 + 7x = -7 + 4x

Solving
2 + 7x = -7 + 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.
2 + 7x + -4x = -7 + 4x + -4x

Combine like terms: 7x + -4x = 3x
2 + 3x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 3x = -7 + 0
2 + 3x = -7

Add '-2' to each side of the equation.
2 + -2 + 3x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -7 + -2
3x = -7 + -2

Combine like terms: -7 + -2 = -9
3x = -9

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

Simplifying
x = -3

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