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

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


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

Reorder the terms:
4(3 + 2x) = 7x + -2
(3 * 4 + 2x * 4) = 7x + -2
(12 + 8x) = 7x + -2

Reorder the terms:
12 + 8x = -2 + 7x

Solving
12 + 8x = -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 + 8x + -7x = -2 + 7x + -7x

Combine like terms: 8x + -7x = 1x
12 + 1x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + 1x = -2 + 0
12 + 1x = -2

Add '-12' to each side of the equation.
12 + -12 + 1x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -2 + -12
1x = -2 + -12

Combine like terms: -2 + -12 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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