2x-5+3(x-2)=7x+4

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Solution for 2x-5+3(x-2)=7x+4 equation:


Simplifying
2x + -5 + 3(x + -2) = 7x + 4

Reorder the terms:
2x + -5 + 3(-2 + x) = 7x + 4
2x + -5 + (-2 * 3 + x * 3) = 7x + 4
2x + -5 + (-6 + 3x) = 7x + 4

Reorder the terms:
-5 + -6 + 2x + 3x = 7x + 4

Combine like terms: -5 + -6 = -11
-11 + 2x + 3x = 7x + 4

Combine like terms: 2x + 3x = 5x
-11 + 5x = 7x + 4

Reorder the terms:
-11 + 5x = 4 + 7x

Solving
-11 + 5x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-11 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -2x = 4 + 0
-11 + -2x = 4

Add '11' to each side of the equation.
-11 + 11 + -2x = 4 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 4 + 11
-2x = 4 + 11

Combine like terms: 4 + 11 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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