4(x+3)=7x+2

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


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

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

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

Solving
12 + 4x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 4x + -7x = 2 + 7x + -7x

Combine like terms: 4x + -7x = -3x
12 + -3x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -3x = 2 + 0
12 + -3x = 2

Add '-12' to each side of the equation.
12 + -12 + -3x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 2 + -12
-3x = 2 + -12

Combine like terms: 2 + -12 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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