2x+4(x-1)+3=2x+7

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Solution for 2x+4(x-1)+3=2x+7 equation:


Simplifying
2x + 4(x + -1) + 3 = 2x + 7

Reorder the terms:
2x + 4(-1 + x) + 3 = 2x + 7
2x + (-1 * 4 + x * 4) + 3 = 2x + 7
2x + (-4 + 4x) + 3 = 2x + 7

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

Combine like terms: -4 + 3 = -1
-1 + 2x + 4x = 2x + 7

Combine like terms: 2x + 4x = 6x
-1 + 6x = 2x + 7

Reorder the terms:
-1 + 6x = 7 + 2x

Solving
-1 + 6x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 6x + -2x = 7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 4x = 7 + 0
-1 + 4x = 7

Add '1' to each side of the equation.
-1 + 1 + 4x = 7 + 1

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

Combine like terms: 7 + 1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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