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

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


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

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

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

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

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

Solving
3 + 2x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 2x + -4x = -1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -2x = -1 + 0
3 + -2x = -1

Add '-3' to each side of the equation.
3 + -3 + -2x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -1 + -3
-2x = -1 + -3

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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