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

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


Simplifying
2x + 4(3 + x) = 7x + -4
2x + (3 * 4 + x * 4) = 7x + -4
2x + (12 + 4x) = 7x + -4

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

Combine like terms: 2x + 4x = 6x
12 + 6x = 7x + -4

Reorder the terms:
12 + 6x = -4 + 7x

Solving
12 + 6x = -4 + 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 + 6x + -7x = -4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
12 + -1x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -1x = -4 + 0
12 + -1x = -4

Add '-12' to each side of the equation.
12 + -12 + -1x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -4 + -12
-1x = -4 + -12

Combine like terms: -4 + -12 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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