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

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


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

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

Reorder the terms:
2 + 4x = 3(-5 + x) + 7
2 + 4x = (-5 * 3 + x * 3) + 7
2 + 4x = (-15 + 3x) + 7

Reorder the terms:
2 + 4x = -15 + 7 + 3x

Combine like terms: -15 + 7 = -8
2 + 4x = -8 + 3x

Solving
2 + 4x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 4x + -3x = -8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = -8 + 0
2 + 1x = -8

Add '-2' to each side of the equation.
2 + -2 + 1x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -8 + -2
1x = -8 + -2

Combine like terms: -8 + -2 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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