5(x+2)=7x-4

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


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

Reorder the terms:
5(2 + x) = 7x + -4
(2 * 5 + x * 5) = 7x + -4
(10 + 5x) = 7x + -4

Reorder the terms:
10 + 5x = -4 + 7x

Solving
10 + 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.
10 + 5x + -7x = -4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
10 + -2x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = -4 + 0
10 + -2x = -4

Add '-10' to each side of the equation.
10 + -10 + -2x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -4 + -10
-2x = -4 + -10

Combine like terms: -4 + -10 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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