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

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


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

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

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

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

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

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

Solving
-3 + 7x = -4 + 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.
-3 + 7x + -2x = -4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-3 + 5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 5x = -4 + 0
-3 + 5x = -4

Add '3' to each side of the equation.
-3 + 3 + 5x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -4 + 3
5x = -4 + 3

Combine like terms: -4 + 3 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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