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

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


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

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

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

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

Solving
4 + 2x = -8 + 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.
4 + 2x + -4x = -8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
4 + -2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -2x = -8 + 0
4 + -2x = -8

Add '-4' to each side of the equation.
4 + -4 + -2x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -8 + -4
-2x = -8 + -4

Combine like terms: -8 + -4 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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