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

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


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

Reorder the terms:
7(-2 + x) + -7 = -3(-2x + 5) + -3x
(-2 * 7 + x * 7) + -7 = -3(-2x + 5) + -3x
(-14 + 7x) + -7 = -3(-2x + 5) + -3x

Reorder the terms:
-14 + -7 + 7x = -3(-2x + 5) + -3x

Combine like terms: -14 + -7 = -21
-21 + 7x = -3(-2x + 5) + -3x

Reorder the terms:
-21 + 7x = -3(5 + -2x) + -3x
-21 + 7x = (5 * -3 + -2x * -3) + -3x
-21 + 7x = (-15 + 6x) + -3x

Combine like terms: 6x + -3x = 3x
-21 + 7x = -15 + 3x

Solving
-21 + 7x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-21 + 7x + -3x = -15 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-21 + 4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 4x = -15 + 0
-21 + 4x = -15

Add '21' to each side of the equation.
-21 + 21 + 4x = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = -15 + 21
4x = -15 + 21

Combine like terms: -15 + 21 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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