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

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


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

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

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

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

Combine like terms: 10 + -4 = 6
6 + 5x + -4x = 7

Combine like terms: 5x + -4x = 1x
6 + 1x = 7

Solving
6 + 1x = 7

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 7 + -6
1x = 7 + -6

Combine like terms: 7 + -6 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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