5(x+2)-2(x-1)=7x+4

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Solution for 5(x+2)-2(x-1)=7x+4 equation:


Simplifying
5(x + 2) + -2(x + -1) = 7x + 4

Reorder the terms:
5(2 + x) + -2(x + -1) = 7x + 4
(2 * 5 + x * 5) + -2(x + -1) = 7x + 4
(10 + 5x) + -2(x + -1) = 7x + 4

Reorder the terms:
10 + 5x + -2(-1 + x) = 7x + 4
10 + 5x + (-1 * -2 + x * -2) = 7x + 4
10 + 5x + (2 + -2x) = 7x + 4

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

Combine like terms: 10 + 2 = 12
12 + 5x + -2x = 7x + 4

Combine like terms: 5x + -2x = 3x
12 + 3x = 7x + 4

Reorder the terms:
12 + 3x = 4 + 7x

Solving
12 + 3x = 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.
12 + 3x + -7x = 4 + 7x + -7x

Combine like terms: 3x + -7x = -4x
12 + -4x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -4x = 4 + 0
12 + -4x = 4

Add '-12' to each side of the equation.
12 + -12 + -4x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 4 + -12
-4x = 4 + -12

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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