7+3(x+2)=4(x-1)

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Solution for 7+3(x+2)=4(x-1) equation:


Simplifying
7 + 3(x + 2) = 4(x + -1)

Reorder the terms:
7 + 3(2 + x) = 4(x + -1)
7 + (2 * 3 + x * 3) = 4(x + -1)
7 + (6 + 3x) = 4(x + -1)

Combine like terms: 7 + 6 = 13
13 + 3x = 4(x + -1)

Reorder the terms:
13 + 3x = 4(-1 + x)
13 + 3x = (-1 * 4 + x * 4)
13 + 3x = (-4 + 4x)

Solving
13 + 3x = -4 + 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.
13 + 3x + -4x = -4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
13 + -1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -1x = -4 + 0
13 + -1x = -4

Add '-13' to each side of the equation.
13 + -13 + -1x = -4 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -4 + -13
-1x = -4 + -13

Combine like terms: -4 + -13 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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