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

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


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

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

Reorder the terms:
-7 + 2x = 4(-2 + x) + 3
-7 + 2x = (-2 * 4 + x * 4) + 3
-7 + 2x = (-8 + 4x) + 3

Reorder the terms:
-7 + 2x = -8 + 3 + 4x

Combine like terms: -8 + 3 = -5
-7 + 2x = -5 + 4x

Solving
-7 + 2x = -5 + 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.
-7 + 2x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-7 + -2x = -5 + 0
-7 + -2x = -5

Add '7' to each side of the equation.
-7 + 7 + -2x = -5 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -5 + 7
-2x = -5 + 7

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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